# NCERT Class 10 Maths Chapter 15 Probability MCQ

CBSE CLASS 10 MATHEMATICS / MCQ

Multiple Choice Questions / PROBABILITY – Chapter 15

1. The probability of getting a head when a coin is tossed once is ————

A. ½

B. ¼

C. 2/3

2. An event having only one outcome of the experiment is called an ————-

A. Elementary event

B. Complementary event

C. Compound event

3. The sum of the probabilities of all the elementary events of an experiment is —————-

A. One

B. Less than one

C. Greater than one

4. When we throw a die once, the probability of getting a number greater than four is ———–

A. ½

B. 1/3

C. ¼

5. When we throw a die once, the probability of getting a number less than or equal to four is ————–

A. 1/3

B. 2/3

C. ¼

6. Getting 8 in a single throw of a die is ————

A. Zero

B. One

C. Two

7. The probability of an event that cannot happen is ———Such an event is called an————-

A. Zero, Impossible event

B. One, Possible event

C. One, certain event

8. The probability of an event which is sure or certain to occur is —————

A. Zero

B. One

C. Two

9. The probability of an event which is sure to occur is one. Such an event is called a ——– event.

A. Sure or certain

B. Impossible

C. Possible

10. The number of outcomes favourable to the event E is always ——— to the number of all possible outcomes.

A. greater than or equal to

B. less than or equal to

C. equal to

11. One card is drawn from a well shuffled deck of 52 cards; the probability that the card will be an ace is ———— and not an ace is ————-

A. 1/13, 12/13

B. 12/13, 1/13

C. 4/13, 9/13

12. A box contains 3 blue, 2 white and 4 red marbles. If a marble is drawn at random from the box, then the probability that it will be white is ————–

A. 1/9

B. 2/9

C. 3/9

13. Probability of an event E + Probability of the event ‘not E’ = —————–

A. Zero

B. One

C. Less than one

14. The probability of an event is greater than or equal to ———— and less than or equal to ————-

A. 0, 1

B. 1, 0

C. 0, 2

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

A. 2/3

B. -1.5

C. 0.7

16. If P (E) = 0.05, the probability of ‘not E’ is ———-

A. 1

B. 0.95

C. 0.05

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

A. ½

B. 2/3

C. 5/3

18. One card is drawn from a well shuffled deck of 52 cards. The probability of getting a king of red colour is ————

A. 1/52

B. 2/26

C. 1/26

19. One card is drawn from a well shuffled deck of 52 cards. The probability of getting a face card is ————-

A. 1/52

B. 3/13

C. 13/52

20. A child has a die whose six faces show the letters as given below.

A B C D E A

The die is thrown once. The probability of getting A and D is ——————

A. 1/3, 1/6

B. 1/6, 1/3

C. ½, ¼

ANSWERS:

1. ½

(P(E) = Number of outcomes favourable to E/ Number of all possible outcomes)

2. Elementary event

3. One

4. 1/3

(P (E) = P (Number greater than 4) = 2/6 = 1/3)

5. 2/3

6. Zero

7. Zero, Impossible event

8. One

9. Sure or certain

10. Less than or equal to

11. 1/13, 12/13

(There are 4 aces in a deck. Let E be the event,’ the card is an ace’

The number of outcomes favourable to E = 4

The number of possible outcomes = 52

P (E) = 4/52 = 1/13

Let F be the event ‘card drawn is not an ace’

The number of outcomes favourable to the event F = 52 – 4 = 48

P (F) = 48/52 = 12/13

12.2/9

(Number of possible outcomes = 3+2+4 = 9

Number of outcomes favourable to the event W =2

P (W) = 2/9)

13. One

14. 0, 1

15. -1.5

(Since the probability of an event always lies between 0 and 1)

16. 0.95

(P (E) + P (not E) = 1

P (not E) = 1 – P (E) = 1 – 0.05 = 0.95)

17. ½

(Prime numbers are 2, 3, 5.

Favourable outcomes = 3

(P (getting a prime number) = 3/6 = ½)

18. 1/26

(There are 2 suits of red cards, i.e., diamond& heart.

Total number of favourable outcomes = 52

P (getting a king of red colour) = 2/52 = 1/26)

19. 3/13

(There are 12 face cards in a pack.

Favourable outcomes = 12

P (getting a face card) = 12/52 = 3/13)

20. 1/3, 1/6

P (getting a letter A) = 2/6 = 1/3

P (getting a letter D) = 1/6)