**Assertion and Reason Questions for Class 9 Maths Chapter 15 Probability**

** Directions: **Choose the correct answer out of the following choices :

(a) Assertion and Reason both are correct statements and Reason is the correct explanation of Assertion.

(b) Assertion and Reason both are correct statements but Reason is not the correct explanation of Assertion.

(c) Assertion is correct statement but Reason is wrong statement.

(d) Assertion is wrong statement but Reason is correct statement.

**Q.1. Assertion : **A coin is tossed 30 times and head appears 18 times. Then the probability of getting a tail is 12/30.

**Reason : **Probability of happening of an event = Number of trials in which the event happened / Total number of trials

## Answer

Answer: (a)**Q.2. Assertion : **A die is thrown, if probability of getting an even number is 1/2, then the probability of getting an odd number is also 1/2

**Reason : **P(E_{1}) + P(E_{2}) + P(E_{3}) + … + P(E_{n}) = 1, where E_{1}, E_{2}, E_{3}, …, E_{n} are n elementary events

associated to a random experiment.

## Answer

Answer: (a)**Q.3. Assertion :** Three coins are tossed. Number of elements in the sample space is 8.

**Reason :** When a coin is tossed n times, then the number of elements in its sample space is 2^{n}.

## Answer

Answer: (a)**Q.4. Assertion :** In a class of 45 students, 39 passed an examination. If a student is selected at random, then the probability that the student has not passed the examination is 13/15.**Reason :** P(E) + P(not E) = 1