# NCERT Class 12-Mathematics: Chapter – 13 Probability Part 18 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 68**:

If A and B are such events that and , then equals.

(A)

(B)

(C)

(D)

**Answer: (C)**

**Question 69**:

If A and B are two independent events with then equals

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 70**:

If two events are independent, then

(A) They must be mutually exclusive

(B) The sum of their probabilities must be equal to 1

(C) (A) and (B) both are correct

(D) None of the above is correct

**Answer: (D)**

**Question 71**:

Let A and B be two events such that . Then is equal to

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 72**:

If the events A and B are independent, then is equal to

(A)

(B)

(C)

(D)

**Answer: (C)**

**Question 73**:

Two events E and F are independent. If , then equals

(A)

(B)

(C)

(D)

**Answer: (C)**

**Question 74**:

A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability of getting exactly one red ball is

(A)

(B)

(C)

(D)

**Answer: (C)**

**Question 75**:

Refer to Question 74 above. The probability that exactly two of the three balls were red, the first ball being red, is

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 76**:

Three persons, A, B and C, fire at a target in turn, starting with A. Their probability of hitting the target are and respectively. The probability of two hits is

(A)

(B)

(C)

(D)

**Answer: (B)**