Practice test

Probability - Test Set 1

Review 20 exam-focused questions with detailed explanations, then start the interactive test when you are ready.

20 questions

Questions and explanations

Question 1
Two unbiased coins are tossed simultaneously. Find the probability of getting at most one head?
1. $\frac{1}{2}$
2. $\frac{1}{3}$
3. $\frac{2}{3}$
4. $\frac{3}{4}$
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Question 2
In tossing three coins at a time, the probability of getting at least one heads is:
1. $\frac{7}{8}$
2. $\frac{1}{2}$
3. $\frac{1}{8}$
4. $\frac{3}{8}$
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Question 3
Three unbiased coins are tossed. What is the probability of getting at most two heads?
1. $\frac{13}{4}$
2. $\frac{1}{4}$
3. $\frac{10}{4}$
4. $\frac{7}{8}$
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Question 4
A coin is tossed repeatedly. If the head appears on the first eight tossed, what is the probability of getting a tail on the ninth tossed?
1. $\frac{1}{7}$
2. $\frac{1}{9}$
3. $\frac{1}{2}$
4. $\frac{3}{7}$
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Question 5
In a simultaneous throw of pair of dice, find the probability of getting the total more than 7.
1. $\frac{1}{2}$
2. $\frac{5}{12}$
3. $\frac{7}{12}$
4. $\frac{3}{12}$
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Question 6
A pair of fair dice are thrown. What is the probability that the sum of the numbers on both the dice is 5?
1. $\frac{4}{36}$
2. $\frac{1}{36}$
3. $\frac{5}{36}$
4. $\frac{6}{36}$
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Question 7
A card is drawn at random from a pack of playing cards. What is the probability of getting a face card?
1. $\frac{5}{13}$
2. $\frac{1}{13}$
3. $\frac{4}{13}$
4. $\frac{3}{13}$
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Question 8
Kings and Queens of black colour are taken out from a deck of 52 playing cards. A card is drawn from the remaining well-shuffled cards. Probability of getting a spade card is:
1. $\frac{1}{4}$
2. $\frac{11}{13}$
3. $\frac{11}{48}$
4. $\frac{11}{52}$
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Question 9
A bag contains cards numbered between 33 and 92. If one card is drawn from the bag, the probability that the number on the drawn card is a perfect square is:
1. $\frac{1}{12}$
2. $\frac{5}{59}$
3. $\frac{1}{15}$
4. $\frac{4}{59}$
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Question 10
One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is either red or king?
1. $\frac{1}{17}$
2. $\frac{1}{2}$
3. $\frac{7}{13}$
4. $\frac{2}{51}$
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Question 11
A box contains 2 black, 6 green and 4 yellow balls. If 2 balls are picked up at random, the probability that both are green-coloured is:
1. $\frac{5}{22}$
2. $\frac{1}{22}$
3. $\frac{2}{22}$
4. $\frac{3}{22}$
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Question 12
An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black?
1. $\frac{2}{7}$
2. $\frac{3}{7}$
3. $\frac{4}{7}$
4. $\frac{5}{7}$
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Question 13
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
1. $\frac{10}{21}$
2. $\frac{6}{21}$
3. $\frac{10}{14}$
4. $\frac{5}{7}$
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Question 14
A bag contains balls numbered 1, 2, 3, ......., 20. One ball is drawn from the bag at random. What is the probability that the number on the ball drawn is divisible by 3 or 5?
1. $\frac{2}{5}$
2. $\frac{1}{2}$
3. $\frac{9}{20}$
4. $\frac{1}{10}$
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Question 15
Direction: In a group of 85 people, 45 read novels, 37 read poems, and 8 read neither novels nor poems.

Find the number of persons who read either novels or poems.
1. 53
2. 82
3. 77
4. 45
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Question 16
Direction: In a group of 85 people, 45 read novels, 37 read poems, and 8 read neither novels nor poems.

Find the number of persons who read both novels and poems.
1. 8
2. 6
3. 5
4. 7
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Question 17
Direction: In a class of 55 students, 40 like Science and 29 like Mathematics. If each student likes at least one subject, answer the following questions.

How many like both Science and Mathematics?
1. 15
2. 14
3. 13
4. 12
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Question 18
Direction: In a class of 55 students, 40 like Science and 29 like Mathematics. If each student likes at least one subject, answer the following questions.

How many like only Science?
1. 29
2. 15
3. 26
4. 19
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Question 19
Direction:In a class of 32 students, 20 of them like Spiderman and 14 like Batman. 6 students like neither Spiderman nor Batman.

How many students like both Spiderman and Batman?
1. 6
2. 8
3. 7
4. 5
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Question 20
Direction:In a class of 32 students, 20 of them like Spiderman and 14 like Batman. 6 students like neither Spiderman nor Batman.

How many students like either Spiderman or Batman?
1. 28
2. 12
3. 6
4. 26
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Questions and explanations

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20