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Q.

In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays. The probability that in a given throw, the ball does not hit the boundary is:

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a

14

b

15

c

45

d

34

answer is C.

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Detailed Solution

Given that a batsman strikes a boundary six times for every 30 balls played in a cricket match.
Number of time when batsman don’t hit a boundary is,
= 30 – 6
= 24
Number of time when batsman don’t hit a boundary = 24
And, total number of outcome = 30
The probability of an event =

\frac{Number of favorable outcomes}{Total number of outcomes}

Now, the probability that the ball does not hit the boundary is,

= Number of time when batsman don’t hit a boundary Total number of outcomes = 2430

= 45

The probability is

45

.
Hence, option 3 is correct.

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