Question

Assertion : If a die is thrown, the probability of gettinga number less than 3 and greater than 2 is zero.
Reason : Probability of an impossible event is zero.
Assertion : In a simultaneously throw of a pair of dice. The probability of getting a double is
1/6
REASON: Probability of an event may be negative.
Assertion : The probability of getting a prime number.When a die is thrown once is 2/3 REASON: Prime numbers on a die are 2, 3, 5.

Answer 1

Given :

Assertion : If a die is thrown, the probability of getting a number less than 3 and greater than 2 is zero.  

Reason : Probability of an impossible event is zero.

Assertion : In a simultaneously throw of a pair of dice. The probability of getting a double is 1/6

REASON: Probability of an event may be negative.

Assertion : The probability of getting a prime number. When a die is thrown once is 2/3

REASON: Prime numbers on a die are 2, 3, 5.

To Find : Comments on Assertion and Reason

Solution:

Assertion : If a die is thrown, the probability of getting a number less than 3 and greater than 2 is zero.

Die has number 1 ,2 , 3 , 4, 5 , 6 Hence no number which is less than 3 and also greater than 2

Hence Probability is Zero

This is an Impossible event

Reason : Probability of an impossible event is zero.  

Hence Reason and Assertion both are true and  Reason is the correct explanation of Assertion    

Assertion : In a simultaneously throw of a pair of dice. The probability of getting a double is 1/6

Total outcomes = 6 * 6 = 36

Double = { (1 ,1) , (2 , 2) , (3 , 3) , ( 4 , 4) , (  5, 5) , ( 6 , 6) }

Probability = 6/36 = 1/6

TRUE

REASON: Probability of an event may be negative.

TRUE

Reason and Assertion both are true and  But Reason is not the correct explanation of Assertion    

Assertion : The probability of getting a prime number. When a die is thrown once is 2/3

Total outcomes  = 6

Prime numbers 2 ,3 , 5  Hence Favorable outcomes = 3

Probability = 3/6 = 1/2

Hence Assertion is False

REASON: Prime numbers on a die are 2, 3, 5.  

Reason is True

Assertion is False and Reason is True

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