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Solution


Q.

Assertion (A) : In a cricket match, a batsman hits a boundary 9 times out of 45 balls he plays. The probability that in a given ball, he does not hit the boundary is 4/5.

Reason (R) : P(E)+P(not  E)=1.
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)

Total number of balls played by batsman = 45

Number of times the batsman hits the boundary = 9

Let E be the event that the batsman hits the boundary.

Now,

P(E)=4/59​=51​

∴P(E) + P(not E) = 1

∴P(not E)=1−15​=45

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).