Practice the AP 10th Class Maths Bits with Answers Chapter 13 Probability on a regular basis so that you can attempt exams with utmost confidence.

## AP State Syllabus 10th Class Maths Bits 13th Lesson Probability with Answers

Question 1.

If P(E) = 0.09, then P (not E) in percentage is …………………

A) 9.1%

B) 91%

C) 0.91%

D) 0.091%

Answer:

B) 91%

Question 2.

Let E and \(\overline{\mathbf{E}}\) be the complementary events. If P(\(\overline{\mathbf{E}}\)) = 0.65, then P(E) = ……………….

A) 0.40

B) 0.45

C) 0.35

D) 0.30

Answer:

C) 0.35

Question 3.

Which of the following cannot be the probability of an event ?

A) 0.2

B) \(\frac {2}{5}\)

C) 0.72

D) 1.\(\overline{3}\)

Answer:

D) 1.\(\overline{3}\)

Question 4.

Which of the following situations have equally likely events ?

1) Getting 1 or 2 or 3 or 4 or 5 or 6 when a dice is rolled.

2) Winning or loosing a game.

3) Head or Tail, when a coin is tossed.

A) 1 and 2

B) 2 and 3

C) 1 and 3

D) All

Answer:

D) All

Question 5.

The probability of picking a letter from the set of English alphabets is \(\frac {5}{26}\) .

That alphabet can be ………………….

A) consonant

B) vowel

C) any alphabet

D) none

Answer:

B) vowel

Question 6.

Probability of getting 7, when a dice is rolled, is ………………..

A) \(\frac{1}{6}\)

B) \(\frac{1}{7}\)

C) \(\frac{6}{7}\)

D) 0

Answer:

D) 0

Question 7.

If P(E) = 0.26, then P(\(\overline{\mathbf{E}}\)) = ………………..

A) 0.74

B) 0

C) 0.26

D) 1

Answer:

A) 0.74

Question 8.

If a die is rolled, then the probability of getting a prime number is …………………..

A) \(\frac{2}{5}\)

B) \(\frac{1}{3}\)

C) \(\frac{1}{2}\)

D) \(\frac{1}{6}\)

Answer:

C) \(\frac{1}{2}\)

Question 9.

At what value of ‘x’, \(\frac{5}{x}\) may be possible probability of an event ?

A) 2

B) 1

C) 4

D) 6

Answer:

D) 6

Question 10.

On random selection, the probability of getting a composite number among the numbers from 51 to 100.

A) \(\frac{4}{5}\)

B) \(\frac{1}{5}\)

C) \(\frac{3}{5}\)

D) \(\frac{2}{5}\)

Answer:

A) \(\frac{4}{5}\)

Question 11.

Probability of impossible event is …………………

A) 0

B) 1

C) 1.0 (or) 0.5

D) 0.5

Answer:

A) 0

Question 12.

From the 50 cards numbered from 1 to 50, a card is drawn at random, then the probability that the number on the card is divisible by 8 is

A) \(\frac{1}{10}\)

B) \(\frac{2}{15}\)

C) \(\frac{1}{20}\)

D) \(\frac{3}{25}\)

Answer:

D) \(\frac{3}{25}\)

Question 13.

If a dice is rolled, then the probability of getting an even number is

A) \(\frac{1}{6}\)

B) \(\frac{1}{3}\)

C) \(\frac{1}{2}\)

D) \(\frac{2}{5}\)

Answer:

C) \(\frac{1}{2}\)

Question 14.

Probability of sure event is …………………..

A) 0

B) -1

C) +1

D) ∞

Answer:

C) +1

Question 15.

Which one of the following cannot be the probability of an event?

A) 0.3

B) -1.5

C) 15%

D) 0.7

Answer:

B) -1.5

Question 16.

When two coins tossed simultaneously, the probability of getting at least one head is……………………

A) 1

B) \(\frac {1}{2}\)

C) \(\frac {1}{4}\)

D) \(\frac {3}{4}\)

Answer:

D) \(\frac {3}{4}\)

Question 17.

The probability of any given day in the month of May not being a Monday if the 1st day of May is a Monday is …………………

A) \(\frac{1}{2}\)

B) \(\frac{31}{6}\)

C) \(\frac{26}{31}\)

D) \(\frac{5}{31}\)

Answer:

C) \(\frac{26}{31}\)

Question 18.

Three unbiased coins are tosseed. The probability of getting at most two heads is ………………

A) \(\frac{3}{8}\)

B) \(\frac{1}{2}\)

C) \(\frac{3}{4}\)

D) \(\frac{7}{8}\)

Answer:

D) \(\frac{7}{8}\)

Question 19.

A box contains 12 balls out of which x are black. If 6 more black balls are put in the box, the probability of drawing a balck ball now is double of what it was before. The value of x is …………………

A) 5

B) 4

C) 3

D) 2

Answer:

C) 3

Question 20.

If K_{1} ≤ P ≤ K_{2} where P is probability of any event of random experiment, then the possible maximum K_{2} + possible least value of K_{1} is ………………..

A) 1

B) 0

C) 2

D) cannot be determined

Answer:

A) 1

Question 21.

The probability that year 2016 to have 53 Mondays is

A) \(\frac{1}{7}\)

B) \(\frac{2}{7}\)

C) \(\frac{5}{7}\)

D) \(\frac{6}{7}\)

Answer:

B) \(\frac{2}{7}\)

Question 22.

The probability of getting score greater than 9 slove added together on faces of two dice rolled at one time.

A) \(\frac{5}{6}\)

B) \(\frac{1}{6}\)

C) \(\frac{13}{36}\)

D) \(\frac{7}{36}\)

Answer:

B) \(\frac{1}{6}\)

Question 23.

A bag contains cards nuinbers from 11 to 30. A card is taken out the bag at random, the probability that the drawn card is a multiple of 5 on it.

A) \(\frac{1}{5}\)

B) \(\frac{4}{19}\)

C) \(\frac{3}{20}\)

D) \(\frac{1}{18}\)

Answer:

A) \(\frac{1}{5}\)

Question 24.

When three fair coins are tossed simultaneously, the probability that at least one head appears is

A) \(\frac{3}{8}\)

B) \(\frac{1}{2}\)

C) \(\frac{5}{8}\)

D) \(\frac{7}{8}\)

Answer:

D) \(\frac{7}{8}\)

Question 25.

A bag contains 6 red, 3 black and 6 white balls. A ball is selected at random from the bag, what is the probability that the selected ball is not red?

A) \(\frac{3}{5}\)

B) \(\frac{6}{5}\)

C) \(\frac{2}{15}\)

D) \(\frac{1}{5}\)

Answer:

A) \(\frac{3}{5}\)

Question 26.

Under the usual notation in probability, P(E) + P (\(\overline{\mathbf{E}}\)) =

A) 0

B) \(\frac {1}{2}\)

C) 1

D) None

Answer:

C) 1

Question 27.

Two dice are thrown at the same time. What is the probability that the sum of the two numbers appearing on the top of the dice is 8 ?

A) \(\frac{31}{36}\)

B) \(\frac{5}{36}\)

C) \(\frac{8}{36}\)

D) 1

Answer:

B) \(\frac{5}{36}\)

Question 28.

A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random, the probability that the marble taken out will be white is ………………..

A) \(\frac{5}{17}\)

B) \(\frac{8}{17}\)

C) \(\frac{4}{17}\)

D) \(\frac{6}{9}\)

Answer:

B) \(\frac{8}{17}\)

Question 29.

The probability of getting a head when a coin is tossed once is

A) 0

B) \(\frac {1}{2}\)

C) \(\frac {1}{3}\)

D) 1

Answer:

B) \(\frac {1}{2}\)

Question 30.

Rahim takes out all the hearts from a deck of 52 cards. The probability of picking a diamond is

A) \(\frac{1}{13}\)

B) \(\frac{1}{39}\)

C) \(\frac{1}{3}\)

D) \(\frac{1}{52}\)

Answer:

C) \(\frac{1}{3}\)

Question 31.

The probability of an impossible event is

A) 0

B) \(\frac{1}{2}\)

C) \(\frac{1}{3}\)

D) 1

Answer:

A) 0

Question 32.

The probability of getting 53 Fridays in a Leap year is

A) \(\frac{1}{7}\)

B) \(\frac{2}{7}\)

C) \(\frac{3}{7}\)

D) \(\frac{4}{7}\)

Answer:

B) \(\frac{2}{7}\)

Question 33.

The set of all possible events is called

A) event

B) impossible event

C) sample space

D) None

Answer:

C) sample space

Question 34.

From a deck of 52 cards, a card is drawn atrandom then the probability of getting a red king is ………………..

A) \(\frac{1}{26}\)

B) \(\frac{2}{13}\)

C) \(\frac{3}{26}\)

D) None

Answer:

A) \(\frac{1}{26}\)

Question 35.

If P (A) = \(\frac{4}{15}\) then P ( \(\overline{\mathbf{A}}\) ) =

A) \(\frac{19}{15}\)

B) \(\frac{11}{15}\)

C) \(\frac{13}{15}\)

D) None

Answer:

B) \(\frac{11}{15}\)

Question 36.

Rama and Reshma are playing a chess game. If the probability of Rama winning is 0.52, then the probability of winning chess game by Reshma is

A) 1.38

B) 0.62

C) 0.48

D) 1.62

Answer:

A) 1.38

Question 37.

A number x is chosen at random from the numbers -4, -3, -2, -1,0,1,2,3,4. The probability that x < 1 is

A) \(\frac{1}{9}\)

B) \(\frac{5}{9}\)

C) \(\frac{4}{9}\)

D) \(\frac{7}{9}\)

Answer:

C) \(\frac{4}{9}\)

Question 38.

From the letters of the word ‘MOTHER’, a letter is selected. The probability that the letter is a vowel is

A) \(\frac{1}{3}\)

B) \(\frac{2}{3}\)

C) \(\frac{3}{6}\)

D) \(\frac{5}{6}\)

Answer:

C) \(\frac{3}{6}\)

Question 39.

The probability of getting a total of 13 when two dice and thrown at the same time is

A) \(\frac{1}{36}\)

B) 0

C) \(\frac{5}{36}\)

D) \(\frac{5}{6}\)

Answer:

A) \(\frac{1}{36}\)

Question 40.

Karishma and Reshma are playing Chess. The probability of winning Karishma is 0.59. Then probability of Reshma winning the match is …………………..

A) 1

B) 0.46

C) 0.5

D) 0.41

Answer:

D) 0.41

Question 41.

If a coin is tossed, then the probability that a head turns up is ……………………

A) \(\frac{1}{2}\)

B) \(\frac{1}{4}\)

C) \(\frac{1}{3}\)

D) \(\frac{1}{6}\)

Answer:

A) \(\frac{1}{2}\)

Question 42.

If one side is chosen at random from the sides of a right triangle, then the probability that it is hypotenuse is ………………..

A) 2

B) 3

C) \(\frac{1}{3}\)

D) 1

Answer:

C) \(\frac{1}{3}\)

Question 43.

If P(E) = 0.82, then P(\(\overline{\mathbf{E}}\)) = ……………………

A) 0.18

B) 0.28

C) 0.38

D) P(E)=P( \(\overline{\mathbf{E}}\))

Answer:

A) 0.18

Question 44.

When an unbiased die is rolled once, what is the probability of getting a prime number out of all possible outcomes ?

A) 1

B) \(\frac{1}{2}\)

C) \(\frac{1}{3}\)

D) \(\frac{1}{6}\)

Answer:

B) \(\frac{1}{2}\)

Question 45.

Probability of getting no head when 3 coins are tossed is

A) \(\frac{3}{2^{3}}\)

B) \(\frac{2}{2^{3}}\)

C) \(\frac{1}{3^{2}}\)

D) \(\frac{1}{2^{3}}\)

Answer:

D) \(\frac{1}{2^{3}}\)

Question 46.

A sample space consists of 80 elementary events that are equally likely. Probability of each of them is

A) \(\frac{1}{80}\)

B) 80

C) 1

D) 0

Answer:

A) \(\frac{1}{80}\)

Question 47.

If an individual is selected at random, probability that he has a birthday in July in 2012 is

A) \(\frac{30}{365}\)

B) \(\frac{31}{365}\)

C) \(\frac{30}{366}\)

D) \(\frac{31}{366}\)

Answer:

D) \(\frac{31}{366}\)

Question 48.

A bag contains 6 red marbles, 3 blue marbles and 7 green marbles. If a marble is randomly selected from the bag, probability that it is blue

A) \(\frac{3}{16}\)

B) \(\frac{13}{16}\)

C) \(\frac{1}{6}\)

D) \(\frac{1}{3}\)

Answer:

A) \(\frac{3}{16}\)

Question 49.

On a multiple choice test each question has 4 possible choices. If you make a random guess probability that you are correct is

A) \(\frac{1}{4}\)

B) 1

C) 0

D) 4

Answer:

A) \(\frac{1}{4}\)

Question 50.

The probability of getting a perfect square number from the numbers 1 to 10 is

A) \(\frac{3}{11}\)

B) \(\frac{2}{5}\)

C) \(\frac{1}{10}\)

D) \(\frac{3}{10}\)

Answer:

D) \(\frac{3}{10}\)

Question 51.

From the month of August, a day is selected whose firstday is Tuesday. Find the probability that the day selected is not a Tuesday

A) \(\frac{1}{2}\)

B) \(\frac{31}{6}\)

C) \(\frac{26}{31}\)

D) \(\frac{15}{6}\)

Answer:

C) \(\frac{26}{31}\)

Question 52.

Three coins are tossed simultaneously once, find the probability of getting atleast one tail is

A) \(\frac{7}{8}\)

B) \(\frac{3}{8}\)

C) \(\frac{1}{8}\)

D) \(\frac{5}{8}\)

Answer:

A) \(\frac{7}{8}\)

Question 53.

A box contains 90 discs numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime number less than 23 is

A) \(\frac{4}{17}\)

B) \(\frac{4}{45}\)

C) \(\frac{4}{19}\)

D) \(\frac{1}{2}\)

Answer:

B) \(\frac{4}{45}\)

Question 54.

If a two digit number is choosen at random, what is the probability that the number choosen is a multiple of 3?

A) \(\frac{2}{99}\)

B) \(\frac{1}{3}\)

C) \(\frac{3}{10}\)

D) \(\frac{1}{25}\)

Answer:

B) \(\frac{1}{3}\)

Question 55.

A social studies text book contains 250 pages. A page is selected at random. What is the probability that the number on the page selected is a perfect square?

A) \(\frac{6}{53}\)

B) \(\frac{8}{51}\)

C) \(\frac{3}{50}\)

D) \(\frac{7}{50}\)

Answer:

C) \(\frac{3}{50}\)

Question 56.

A Jar contains 3 mangoes and x guavas. Two fruits are pulled from the jar without replacement. An expression that represents the probability one fruit is mango and the next fruit is guava is

A) \(\left(\frac{3}{x+3}\right)\left(\frac{x-1}{x+2}\right)\)

B) \(\left(\frac{3}{x+3}\right)\left(\frac{x-1}{x-2}\right)\)

C) \(\frac{3 \times 2}{(x+3)(x+2)}\)

D) \(\left(\frac{3}{x+3}\right)\left(\frac{x}{x-2}\right)\)

Answer:

D) \(\left(\frac{3}{x+3}\right)\left(\frac{x}{x-2}\right)\)

Question 57.

In a lucky dip of 30 tokens Ravi purchased two tokens. Then the probability of getting the first prize is

A) \(\frac{2}{15}\)

B) \(\frac{3}{30}\)

C) \(\frac{2}{30}\)

D) \(\frac{1}{30}\)

Answer:

C) \(\frac{2}{30}\)

Question 58.

In a simultaneous toss of two coins, the probability of atleast one head is

A) \(\frac{1}{4}\)

B) \(\frac{3}{4}\)

C) \(\frac{2}{4}\)

D) \(\frac{1}{3}\)

Answer:

B) \(\frac{3}{4}\)

Question 59.

When a dice is rolled the probability of getting a composite number is

A) \(\frac{1}{3}\)

B) \(\frac{1}{4}\)

C) \(\frac{1}{2}\)

D) \(\frac{1}{6}\)

Answer:

A) \(\frac{1}{3}\)

Question 60.

The event of getting a number less than or equal to 6 is a

A) base event

B) element

C) possible event

D) sure event

Answer:

D) sure event

Question 61.

Three different greeting cards and their corresponding covers are randomly strewn about on a table. If Ravi puts the greetingcardsintothecoversatrandom, the probability of correctly matching of all greeting cards and covers is

A) \(\frac{1}{6}\)

B) \(\frac{2}{3}\)

C) \(\frac{1}{9}\)

D) \(\frac{5}{6}\)

Answer:

A) \(\frac{1}{6}\)

Question 62.

In a box there are 28 marbles of which x are green and the rest are white. If the probability of getting a green marble is 2 then the number of white marbles is

A) 20

B) 16

C) 12

D) 8

Answer:

A) 20

Question 63.

If one side is chosen at random from the sides of a right triangle, then the probability that it is hypotenuse is

A) \(\frac {1}{2}\)

B) \(\frac {1}{3}\)

C) 2

D) 3

Answer:

B) \(\frac {1}{3}\)

Question 64.

The probability of raining in a day is

A) \(\frac {1}{4}\)

B) \(\frac{-1}{4}\)

C) \(\frac{-1}{2}\)

D) \(\frac {1}{2}\)

Answer:

D) \(\frac {1}{2}\)

Question 65.

There are 50 cards numbered from 1 to 50. A card is drawn at random. Then the probability that the number on the card is divisible by 8 is

A) \(\frac{4}{19}\)

B) \(\frac{19}{4}\)

C) \(\frac{3}{25}\)

D) \(\frac{25}{3}\)

Answer:

C) \(\frac{3}{25}\)

Question 66.

In a single throw of two dice the probability of getting distinct numbers is

A) \(\frac{4}{36}\)

B) \(\frac{3}{12}\)

C) \(\frac{5}{6}\)

D) \(\frac{5}{36}\)

Answer:

C) \(\frac{5}{6}\)

Question 67.

A box contains pencils and pens. The probability of picking out a pen at random is 0.65. Then the probability of not picking a pen is

A) 0.35

B) 0.45

C) 0.65

D) 0.55

Answer:

A) 0.35

Question 68.

Collection of outcomes of an experiment is

A) Event

B) Trial

C) Probability

D) Random experiment

Answer:

A) Event

Question 69.

A month having 4 Sundays is …………………. event.

A) unlikely

B) certain

C) impossible

D) most likely

Answer:

B) certain

Question 70.

Possible value for probability of an event is

A) 1.25

B) – 0.3

C) -0.99

D) 0.6

Answer:

D) 0.6

Question 71.

Drawing a red ball from 4 white balls is …………….. event.

A) certain

B) unlikely

C) most likely

D) impossible

Answer:

D) impossible

Question 72.

When a card is picked up from a deck of cards, it should be either a red or a black card because these events are

A) Equally likely

B) Mutually exclusive

C) Complementary

D) All of these

Answer:

C) Complementary

Question 73.

Getting a cold Wave in your village in December is …………… event

A) unlikely

B) certain

C) most likely

D) impossible

Answer:

C) most likely

Question 74.

When a dice is thrown, the probability of getting neither a prime nor composite number is

A) 0

B) \(\frac{1}{2}\)

C) \(\frac{1}{6}\)

D) \(\frac{1}{3}\)

Answer:

C) \(\frac{1}{6}\)

Question 75.

Two unbiased coins are tossed simultaneously. Probability of getting at most two heads is

A)\(\frac{1}{4}\)

B) \(\frac{1}{2}\)

C) \(\frac{3}{4}\)

D) 1

Answer:

C) \(\frac{3}{4}\)

Question 76.

The probability of a sure event is

A) 0

B) 9

C) 2

D) 1

Answer:

D) 1

Question 77.

P(\(\overline{\mathbf{E}}\)) =

A) 1 – P(E)

B) 1 + P(E)

C) \(\frac{1}{P(E)}\)

D) P(E) – 1

Answer:

A) 1 – P(E)

Question 78.

Buying a lottery ticket and win the Jackpot is ………………… event.

A) certain

B) impossible

C) unlikely

D) most likely

Answer:

C) unlikely

Question 79.

When we roll a dice ‘3’ times, the number of possible outcomes is

A) 3^{6}

B) 6^{3}

C) 18

D) 9

Answer:

B) 6^{3}

Question 80.

Probability of getting 2 or 3 when we throw a die is

A) \(\frac{2}{6}\)

B) \(\frac{3}{6}\)

C) \(\frac{5}{6}\)

D) \(\frac{1}{6}\)

Answer:

A) \(\frac{2}{6}\)

Question 81.

Suppose there are “8” equally likely events then probability of each event is

A) 0

B) \(\frac{1}{8}\)

C) \(\frac{2}{8}\)

D) 1

Answer:

B) \(\frac{1}{8}\)

Question 82.

If I calculate the probability of an event as – 0.5 then

A) the probability of not happening is 0.5

B) the probability of happening is 0.5

C) the event is not going to happen

D) I made a mistake

Answer:

D) I made a mistake

Question 83.

From the letters of the word “MOBILE”, if a letter is selected, what is the probability of getting the letter vowel ?

A) \(\frac{1}{7}\)

B) \(\frac{1}{3}\)

C) \(\frac{1}{2}\)

D) \(\frac{1}{4}\)

Answer:

C) \(\frac{1}{2}\)

Question 84.

Gita said that the probability of impossible event is 1. Pravallika said that probability of sure event is 0 and Atiya said that the probability of any event lies between 0 arid 1. In the above with whom you will agree ?

A) Gita

B) Pravallika

C) Atiya

D) All the three

Answer:

C) Atiya

Question 85.

A baby is born the probability that it is a boy or girl is

A) 1

B) \(\frac{1}{2}\)

C) \(\frac{-1}{2}\)

D) \(\frac{1}{3}\)

Answer:

B) \(\frac{1}{2}\)

Question 86.

Probability of switching on a bulb in a dark room is 0.35 then the probability of not switching the bulb is

A) 6.5

B) 65.1

C) 0.65

D) 0.065

Answer:

C) 0.65

(87 – 90:) A game of chance consists of spinning an arrow which comes of rest pointing at one of the number 1, 2, 3, 4, 5, 6,7,8 (adjoiningfigure) and these are equally likely outcomes. What is the probability that it will point at

Question 87.

8 ?

A) \(\frac{1}{8}\)

B) \(\frac{1}{3}\)

C) \(\frac{1}{4}\)

D) \(\frac{8}{3}\)

Answer:

A) \(\frac{1}{8}\)

Question 88.

on odd number?

A) \(\frac{1}{4}\)

B) \(\frac{1}{2}\)

C) \(\frac{1}{7}\)

D) \(\frac{1}{9}\)

Answer:

B) \(\frac{1}{2}\)

Question 89.

a number greater than 2 ?

A) \(\frac{3}{10}\)

B) \(\frac{3}{7}\)

C) \(\frac{3}{2}\)

D) \(\frac{3}{4}\)

Answer:

D) \(\frac{3}{4}\)

Question 90.

a number less than 9 ?

A) 1

B) \(\frac{1}{2}\)

C) \(\frac{1}{3}\)

D) \(\frac{1}{4}\)

Answer:

A) 1

(91 – 93) : One card is drawn from a well shuffled deck of 52 cards. The probability

of getting

Question 91.

A red face card

A) \(\frac{3}{2}\)

B) \(\frac{3}{26}\)

C) \(\frac{7}{26}\)

D) \(\frac{5}{26}\)

Answer:

B) \(\frac{3}{26}\)

Question 92.

A spade

A) \(\frac{1}{4}\)

B) \(\frac{3}{4}\)

C) \(\frac{1}{2}\)

D) \(\frac{4}{3}\)

Answer:

D) \(\frac{4}{3}\)

Question 93.

Either king or black cards

A) \(\frac{13}{7}\)

B) \(\frac{7}{3}\)

C) \(\frac{7}{13}\)

D) \(\frac{3}{7}\)

Answer:

C) \(\frac{7}{13}\)