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Q.

In a cricket match, a batsman hits a boundary 30 times out of 90 balls he played. Find the probability that on a ball played he hits boundary.


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a

1 6  

b

1 4  

c

1 3  

d

1 2   

answer is C.

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Detailed Solution

It is given that, a batsman hits a boundary 30 times out of 90 balls he played.
We have to find the probability that on a ball played he hits boundary.
The total number of outcomes is 90.
The number of balls that he hits the boundary is 30.
For an event A, P(A)= NumberofPossibleOutcomes TotalNumberofOutcomes  
The probability of hitting the boundary is given by,
= 30 90 = 1 3   The probability that on a ball played he hits boundary.is 1 3  .
Hence, option 3 is correct.  
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