# NCERT Class 12-Mathematics: Chapter – 13 Probability Part 21 (For CBSE, ICSE, IAS, NET, NRA 2023)

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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