Question

In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays.
(i) he hits boundary
(ii) he does not hit a boundary.

Answer 1

The total number of trials is 30.

Remember the empirical or experimental or observed frequency approach to probability.

If n be the total number of trials of an experiment and A is an event associated to it such that A happens in m-trials. Then the empirical probability of happening of event A is denoted by P(A)  and is given by

P(A) =`m/n`

(i) Let A be the event of hitting boundary.

The number of times A happens is 6.

Therefore, we have

P(A) =`6/30`

= 0.2

(ii) Let B be the event of does not hitting boundary.

The number of times B happens is30-6=24 .

Therefore, we have

P(B) =`24/30`

= 0.8