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A batsman in a cricket match hits a boundary six times out of every thirty balls he plays.

What is the probability that he hits the boundary?

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15

35

25

answer is A.

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Detailed Solution

Given that, a batsman hits boundary 6 times for every 30 balls.
We have to find the probability that he hits the boundary.
The probability of an event A is given by,

P (A) = Number of favourable outcomes T o t a l number of outcomes

Let A be the event that the batsman hits the boundary.
Total number of balls he played,

n (S) = 30

.
Number of times he hits the boundary

= 6

Probability for hitting the boundary is given by,

P (A) = n (A) n (S) ⇒ P (A) = 630 ⇒ P (A) = 15

Thus, the probability for hitting a boundary is

15

.
Hence, option 1 is the correct option.

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