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Solution


Q.

Assertion (A) : When a die is rolled, the probability of getting a number which is a multiple of 3 and 5 both is zero.

Reason (R) : The probability of an impossible event is zero.
1 Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).  
2 Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).  
3 Assertion (A) is true but Reason (R) is false.  
4 Assertion (A) is false but Reason (R) is true.  

Ans.

(1)

When a die is rolled, possible outcomes are 1, 2, 3, 4, 5 and 6.

The least multiple of 3 and 5 both is 15.

So, when a die is rolled it is impossible to get a number which is multiple of 3 and 5 both i.e., it is an impossible event.

We know that the probability of an impossible event is zero.

Therefore, the probability of getting a number which is a multiple of 3 and 5 both is zero.

So, both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).