## CBSE Class 10 Probability MCQ New Pattern By Clarify Knowledge

*CBSE Class 10 Probability MCQ New Pattern 2022*

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## CBSE Class 10 Probability MCQ Table

**1. The probability of event equal to zero is called;**

(a) Unsure event

(b) Sure Event

(c) Impossible event

(d) Independent event

Answer: **(c) Impossible event**

Explanation: The probability of an event that cannot happen or which is impossible, is equal to zero.

**2. The probability that cannot exist among the following:**

(a) ⅔

(b) -1.5

(c) 15%

(d) 0.7

Answer: **(b) -1.5**

Explanation: The probability lies between 0 and 1. Hence, it cannot be negative.

**3. If P(E) = 0.07, then what is the probability of ‘not E’?**

(a) 0.93

(b) 0.95

(c) 0.89

(d) 0.90

Answer: **(a) 0.93**

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

Since, P(E) = 0.05

So, P(not E) = 1 – P(E)

Or, P(not E) = 1 – 0.07

∴ P(not E) = 0.93

**4. A bag has 3 red balls and 5 green balls. If we take a ball from the bag, then what is the probability of getting red balls only?**

(a) 3

(b) 8

(c) ⅜

(d) 8/3

Answer: **(c) ⅜**

Explanation: Number of red balls = 3

Number of green balls = 5

Total balls in bag = 3+5 = 8

Probability of getting red balls = number of red balls/total number of balls

= ⅜

**5. A bag has 5 white marbles, 8 red marbles and 4 purple marbles. If we take a marble randomly, then what is the probability of not getting purple marble?**

(a) 0.5

(b) 0.66

(c) 0.08

(d) 0.77

Answer: **(d) 0.77**

Explanation: Total number of purple marbles = 4

Total number of marbles in bag = 5 + 8 + 4 = 17

Probability of getting purple marbles = 4/17

Hence, the probability of not getting purple marbles = 1-4/17 = 0.77

**6. A dice is thrown in the air. The probability of getting odd numbers is**

(a) ½

(b) 3/2

(c) 3

(d) 4

Answer:** (a) ½**

Explanation: A dice has six faces having values 1, 2, 3, 4, 5 and 6.

There are three odd numbers and three even numbers.

Therefore, the probability of getting only odd numbers is = 3/6 = ½

**7. If we throw two coins in the air, then the probability of getting both tails will be:**

(a) ½

(b) ¼

(c) 2

(d) 4

Answer: **(b) ¼**

Explanation: When two coins are tossed, the total outcomes will be = 2 x 2 = 4

Hence, the probability of getting both tails = ¼

**8. If two dice are thrown in the air, the probability of getting sum as 3 will be**

(a) 2/18

(b) 3/18

(c) 1/18

(d) 1/36

Answer: **(c) 1/18**

Explanation: When two dice are thrown in the air:

Total number of outcome = 6 x 6 = 36

Sum 3 is possible if we get (1,2) or (2,1) in the dices.

Hence, the probability will be = 2/36 = 1/18

**9. A card is drawn from the set of 52 cards. Find the probability of getting a queen card.**

(a) 1/26

(b) 1/13

(c) 4/53

(d) 4/13

Answer: **(b) 1/13**

Explanation: Total number of cards = 52

Number of queen cards= 4

The probability of getting queen card = 4/52 = 1/13

**10. A fish tank has 5 male fish and 8 female fish. The probability of fish taken out is a male fish:**

(a) 5/8

(b) 5/13

(c) 13/5

(d) 5

Answer: **(b) 5/13**

Explanation: Total fish = 5 + 8 = 13

Probability of taking out a male fish = 5/13

**11. The sum of the probabilities of all the elementary events of an experiment is**

(a) 0.5

(b) 1

(c) 2

(d) 1.5

Answer: **(b) 1**

The sum of the probabilities of all the elementary events of an experiment is equal to 1.

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

(a) 3/13

(b) 4/13

(c) 6/13

(d) 9/13

Answer: **(a) 3/13**

Explanation:

Total number of outcomes = 52

Number of face cards = 12

The probability of its being a face card = 12/52 = 3/13

**13. If an event cannot occur, then its probability is**

(a) 1

(b) 3/4

(c) 1/2

(d) 0

Answer: **(d) 0**

If an event cannot occur, then its probability is 0.

**14. An event is very unlikely to happen. Its probability is closest to**

(a) 0.0001

(b) 0.001

(c) 0.01

(d) 0.1

Answer: **(a) 0.0001**

The probability of an event which is very unlikely to happen is closest to zero.

Thus, 0.0001 is the probability of an event which is very unlikely to happen.

**15. If P(A) denotes the probability of an event A, then**

(a) P(A) < 0

(b) P(A) > 1

(c) 0 ≤ P(A) ≤ 1

(d) –1 ≤ P(A) ≤ 1

Answer: **(c) 0 ≤ P(A) ≤ 1**

If P(A) denotes the probability of an event A, then 0 ≤ P(A) ≤ 1.

**16. The probability that a non leap year selected at random will contain 53 Sundays is**

(a) 1/7

(b) 2/7

(c) 3/7

(d) 5/7

Answer: **(a) 1/7**

Explanation:

Non-leap year = 365 days

365 days = 52 weeks + 1 day

For 52 weeks, number of Sundays = 52

1 remaining day can be Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.

Total possible outcomes = 7

The number of favourable outcomes = 1

Thus, the probability of getting 53 Sundays = 1/7

**17. If the probability of an event is p, the probability of its complementary event will be**

(a) p – 1

(b) p

(c) 1 – p

(d) 1 – 1/p

Answer: **(c) 1 – p**

Explanation:

The sum of probability of an event and it complementary event = 1

So, if the probability of an event is p, the probability of its complementary event will be 1 – p.

**18. A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is**

(a) 4

(b) 13

(c) 48

(d) 51

Answer: **(d) 51**

In a deck of 52 cards, there are 13 cards of heart and 1 is ace of heart.

Given that the event E is that card is not an ace of hearts.

Hence, the number of outcomes favorable to E = 52 – 1 = 51

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

(a) 7

(b) 14

(c) 21

(d) 28

Answer: **(b) 14**

Explanation:

Total number of eggs = 400

Probability of getting a bad egg = Number of bad eggs/Total number of eggs

0.035 = Number of bad eggs/400

Number of bad eggs = 0.035 × 400 = 14

**20. Two players, Sangeeta and Reshma, play a tennis match. It is known that the probability of Sangeeta winning the match is 0.62. The probability of Reshma winning the match is**

(a) 0.62

(b) 0.38

(c) 0.58

(d) 0.42

Answer: **(b) 0.38**