**MCQs Questions for Class 12 Maths Chapter 13 Probability**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a major role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns.

In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should more focus on the MCQ questions. Thus, let’s solve these MCQs Questions to make our foundation very strong.

In this post, you will find **20** **MCQs questions for class 12 maths chapter 13 probability**.

**MCQs Questions for Class 12 Maths Chapter 13 Probability**

**1.** If the probability of
an event is 3/7, then odd
against the event is

(a) 7 : 3

(b) 4 : 3

(c) 3 : 7

(d) 3 : 4

**Answer: b**

**2.** Given that the
probability of a man hitting a target is 1/4. How many times must he fire so that the
probability of his hitting the target at least once is greater than 2/3?

(a) 4

(b) 3

(c) 2

(d) 1

**Answer: a**

**3. **Given that E and F be
the events of a sample space S of an experiment. If P(S|F) = P(F|F), then the
value of P(S|F) is

(a) 0

(b) -1

(c) 2

(d) 1

**Answer:**** d**

**4. **If A and B are two events such that P(A) ≠ 0 and P(B/A) = 1, then

(a) B ⊂ A

(b) B = Ï†

(c) A ⊂ B

(d) A ∩ B =
Ï†

**Answer:**** c**

**5. **A bag has 6 red, 4 blue and 2 yellow balls. If three balls
are drawn one by one with replacement, then the probability of getting exactly
one red ball is

(a) 1/4

(b) 3/8

(c) 3/4

(d) 1/2

**Answer: b**

**6. **Given that E and F are
events such that P(E) = 0.6, P(F) = 0.3 and P(E∩F) = 0.2, then P(E|F) is equal to

(a) 2/3

(b) 1/3

(c) 3/4

(d) ¼

**Answer:**** a**

**7. **If one card is drawn out of 52 playing cards, the probability
that it is an Ace is

(a) 1/26

(b) 1/13

(c) 1/52

(d) ¼

**Answer:**** b**

**8. **A die is thrown and a card is chosen at random from a deck of
52 playing cards simultaneously. The probability of getting an odd number on
the die and a diamond card is

(a) 1/2

(b) 1/4

(c) 1/8

(d) 3/4

**Answer: c
**

**9. **If E and F are the events such that P(E) = 0.5, P(F) = 0.4
and P(E∩F) = 0.3, then the value of P(F|E) is

(a) 2/5

(b) 3/5

(c) 3/4

(d) 2/4

**Answer:**** b
**

**10. **Five horses are in a race. John selects two of the horses at
random and the best on them. The probability that John selects the winning
horse is

(a) 4/5

(b) 3/5

(c) 1/5

(d) 2/5

**Answer:**** d**

**11. **Suppose a random
variable X follows the binomial distribution with parameters n and p, where 0
< p < 1. If p(x = r) / P(x = n – r) is independent of n and r, then p
equals

(a) 1/2

(b) 1/3

(c) 1/5

(d) 1/7

**Answer: a**

**12. **If P(A) = 7/11, P(B) =
6/11 and P(A∪B) = 8/11, then P(A|B) = ________

(a) 3/5

(b) 2/3

(c) 1/2

(d) 1

**Answer:**** d**

**13. **If A and B are two events associated with the same random
experiment such that P(A) = 0.4, P(B) = 0.8 and P(B/A) = 0.6, then P(A/B) is

(a) 0.3

(b) 0.4

(c) 0.5

(d) 0.6

**Answer:**** a**

**14. **If three events of a sample space are E, F and G, then the
value of P(E ∩ F ∩ G) is

(a) P(E)
P(F|E) P(G|(E ∩ F))

(b) P(E)
P(F|E) P(G|EF)

(c) Both
(a) and (b)

(d) None of
these

**Answer: c**

**15. **Which of the following
represents the multiplication theorem of probability?

(a) P(A∩B)
= P(B) P(B/A)

(b) P(A∩B)
= P(A) P(B/B)

(c) P(A∩B)
= P(A) P(A/A)

(d) P(A∩B)
= P(B) P(A/B)

**Answer:**** d**

**16. **A man is known to speak truth 3 out of 4 times. He throws a
die and reports that it is a six. Find the probability that it is actually a
six.

(a) 1/8

(b) 5/8

(c) 2/7

(d) 3/8

**Answer:**** d**

**17. **An experiment has 10 equally likely outcomes. Let A and B be
two non-empty events of the experiment. A consists of 4 outcomes, the number of
outcomes that B must have so that A and B are independent is

(a) 2, 4 or
8

(b) 36 or 9

(c) 4 or 8

(d) 5 or 10

**Answer:**** d**

**18. **Find the value of P(X = 3) if X is the discrete random
variable taking values x_{1}, x_{2}, x_{3} where P(X =
0) = 0, P(X = 1) = 1/4 and P(X = 2) = ¼.

(a) 1

(b) 1/2

(c) 1/4

(d) 1/3

**Answer:**** b**

**19. **Two events A and B will be independent, if

(a) A and B
are mutually exclusive

(b) P(A’ ∩
B’) = [1 – P(A)] [1 – P(B)]

(c) P(A) =
P(B)

(d) P(A) +
P(B) = 1

**Answer: c**

**20. **What is the formula for
binomial distribution?

(a) P [X =
x] = ^{n}C_{n} p^{x} q^{n-x}

(b) P [X =
x] = ^{x}C_{x} p^{x} q^{n-x}

(c) P [X =
x] = ^{n}C_{x} p^{x} q^{n-x}

(d) P [X =
x] = ^{n}C_{x} p^{n} q^{n-x}^{}

**Answer:**** c**