# NCERT Class 12-Mathematics: Chapter –13 Probability Part 21

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## State True or False for the Statements in Each of the Exercises 94 to 103

**Question 94:**

Let and . Then A and B can be both mutually exclusive and independent.

**Answer: False**

**Question 95:**

If A and B are independent events, then A and B are also independent.

**Answer: True**

**Question 96:**

If A and B are mutually exclusive events, then they will be independent also.

**Answer: False**

**Question 97:**

Two independent events are always mutually exclusive.

**Answer: False**

**Question 98:**

If A and B are two independent events then .

**Answer: True**

**Question 99:**

Another name for the mean of a probability distribution is expected value.

**Answer: True**

**Question 100:**

If and are independent events, then

**Answer: True**

**Question 101:**

If A and B are independent, then

**Answer: True**

**Question 102:**

If A and B are two events such that and , then

**Answer: False**

**Question 103:**

If A, B and C are three independent events such that , then

**Answer: True**

### Fill in the Blanks in Each of the Following Questions

**Question 104:**

If A and B are two events such that , then ________

**Answer:**

**Question 105:**

If A and B are such that , then __________

**Answer:**

**Question 106:**

If X follows binomial distribution with parameters and , then ___________

**Answer:**

**Question 107:**

Let be a random variable taking values with probabilities, respectively. Then var ________

**Answer:**

**Question 108:**

Let A and B be two events. If , then A is ___________ of B.

**Answer:**

Independent