# NCERT Class 11-Math՚s: Exemplar Chapter – 16 Probability Part 10 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Question 23**:

(A)

(B)

(C)

(D) None of these

**Answer: (A)**

**Question 24**:

If for any two events A and B, then

(A)

(B)

(C)

(D) None of these

**Answer: (A)**

**Question 25**:

boys and girls sit in a row at random. The probability that all the girls sit together is

(A)

(B)

(C)

(D) None of these

**Answer: (C)**

**Question 26**:

A single letter is selected at random from the word ‘PROBABILITY’ . The probability that it is a vowel is

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 27**:

If the probabilities for A to fail in an examination is and that for B is , then the probability that either A or B fails is

(A)

(B)

(C)

(D)

**Answer: (C)**

**Question 28**:

The probability that at least one of the events A and B occurs is 0.6. If A and B occur simultaneously with probability , then is

(A)

(B)

(C)

(D)

**Answer: (C)**

**Question 29**:

If M and N are any two events, the probability that at least one of them occurs is

(A)

(B)

(C)

(D)

**Answer: (B)**

## State Whether the Statements Are True or False in Each of the Exercises 30 to 36

**Question 30**:

The probability that a person visiting a zoo will see the giraffe is , the probability that he will see the bears is and the probability that he will see both is .

**Answer: False**

**Question 31**:

The probability that a student will pass his examination is , the probability of the student getting a compartment is , and the probability that the student will either pass or get compartment is .

**Answer: False**

**Question 32**:

The probabilities that a typist will make or more mistakes in typing a report are, respectively, .

**Answer: False**