Class 10 Probability Set-2

Question 1

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

Accepted Answer

$17/16$

Answer

$1/3$

Answer

$0.1$

Answer

$3\%$

Question 2

An event is very unlikely to happen. Its probability is closest to:

Accepted Answer

$0.0001$

Answer

$0.001$

Answer

$0.01$

Answer

$0.1$

Question 3

If $P(E) = 0.05$, then the probability of 'not E' is:

Accepted Answer

$0.95$

Answer

$0.05$

Answer

$0.5$

Answer

$0.55$

Question 4

A card is selected at random from a well-shuffled deck of 52 playing cards. The probability of its being a face card is:

Accepted Answer

$3/13$

Answer

$4/13$

Answer

$1/13$

Answer

$9/13$

Question 5

A die is thrown once. The probability of getting a prime number is:

Accepted Answer

$1/2$

Answer

$2/3$

Answer

$1/3$

Answer

$1/6$

Question 6

Two coins are tossed simultaneously. The probability of getting at most one head is:

Accepted Answer

$3/4$

Answer

$1/4$

Answer

$1/2$

Answer

$1$

Question 7

A bag contains 3 red balls, 5 white balls, and 7 black balls. What is the probability that a ball drawn from the bag is neither red nor black?

Accepted Answer

$1/3$

Answer

$7/15$

Answer

$8/15$

Answer

$1/5$

Question 8

If a number $x$ is chosen from the numbers $-3, -2, -1, 0, 1, 2, 3$, what is the probability that $|x| < 2$?

Accepted Answer

$3/7$

Answer

$5/7$

Answer

$2/7$

Answer

$1/7$

Question 9

The probability of a sure event is:

Accepted Answer

$1$

Answer

$0$

Answer

$1/2$

Answer

Not defined

Question 10

A girl calculates that the probability of her winning the first prize in a lottery is $0.08$. If 6000 tickets are sold, how many tickets has she bought?

Accepted Answer

$480$

Answer

$40$

Answer

$240$

Answer

$750$

Question 11

One card is drawn from a well-shuffled deck of 52 cards. The probability that the card will not be an ace is:

Accepted Answer

$12/13$

Answer

$1/13$

Answer

$4/13$

Answer

$3/13$

Question 12

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

Accepted Answer

$8/90$

Answer

$7/90$

Answer

$9/90$

Answer

$10/90$

Question 13

Two dice are thrown together. The probability that the sum of the two numbers will be a multiple of 4 is:

Accepted Answer

$1/4$

Answer

$1/2$

Answer

$1/3$

Answer

$1/9$

Question 14

The probability of getting a bad egg in a lot of 400 is $0.035$. The number of bad eggs in the lot is:

Accepted Answer

$14$

Answer

$7$

Answer

$21$

Answer

$28$

Question 15

A letter is chosen at random from the English alphabet. The probability that it is a letter of the word 'APPLE' is:

Accepted Answer

$4/26$

Answer

$5/26$

Answer

$2/26$

Answer

$1/26$

Question 16

A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, the number of blue balls in the bag is:

Accepted Answer

$10$

Answer

$5$

Answer

$15$

Answer

$20$

Question 17

If two dice are thrown, the probability that the numbers appearing on them are different is:

Accepted Answer

$5/6$

Answer

$1/6$

Answer

$1/36$

Answer

$1/2$

Question 18

The probability that a non-leap year has 53 Sundays is:

Accepted Answer

$1/7$

Answer

$2/7$

Answer

$5/7$

Answer

$6/7$

Question 19

Three coins are tossed. The probability of getting exactly two tails is:

Accepted Answer

$3/8$

Answer

$1/8$

Answer

$1/2$

Answer

$1/4$

Question 20

A number is selected from numbers 1 to 25. The probability that it is a prime number is:

Accepted Answer

$9/25$

Answer

$2/25$

Answer

$10/25$

Answer

$8/25$

Question 21

A card is drawn from a deck of 52 cards. The probability of drawing a red queen is:

Accepted Answer

$1/26$

Answer

$1/52$

Answer

$1/13$

Answer

$1/4$

Question 22

If a die is thrown, the probability of getting a number less than 3 or greater than 4 is:

Accepted Answer

$2/3$

Answer

$1/3$

Answer

$1/2$

Answer

$5/6$

Question 23

A box contains cards numbered 6 to 50. A card is drawn at random. The probability that the card has a number which is a perfect square is:

Accepted Answer

$4/45$

Answer

$1/9$

Answer

$1/10$

Answer

$2/15$

Question 24

The probability of getting 53 Fridays in a leap year is:

Accepted Answer

$2/7$

Answer

$1/7$

Answer

$3/7$

Answer

$4/7$

Question 25

Two dice are thrown. The probability that the product of the numbers on the upper faces is 12 is:

Accepted Answer

$1/9$

Answer

$1/6$

Answer

$4/36$

Answer

$5/36$

Question 26

In a single throw of two dice, what is the probability of getting a sum of 7?

Accepted Answer

$1/6$

Answer

$1/12$

Answer

$5/36$

Answer

$1/9$

Question 27

A bag contains 24 marbles, some are green and others are blue. If a marble is drawn at random, the probability that it is green is $2/3$. The number of blue marbles in the bag is:

Accepted Answer

$8$

Answer

$16$

Answer

$12$

Answer

$10$

Question 28

Which of the following is an impossible event?

Accepted Answer

Getting a 7 on a single throw of a die.

Answer

Getting a head on a coin toss.

Answer

Drawing a red card from a deck.

Answer

Sum of 12 on two dice.

Question 29

If $P(F)$ denotes the probability of an event $A$, then:

Accepted Answer

$0 \le P(F) \le 1$

Answer

$P(F) < 0$

Answer

$P(F) > 1$

Answer

$-1 \le P(F) \le 1$

Question 30

A card is drawn from a pack of 52 cards. The probability that it is the ace of spades is:

Accepted Answer

$1/52$

Answer

$1/13$

Answer

$1/4$

Answer

$4/52$

Questions in this Quiz

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Class 10 Probability Set-2

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