Question

A cricket coach noted the number of runs scored by a player over 8 matches. The data gathered is as follows:

Match	Number of runs scored
1	65
2	69
3	72
4	108
5	42
6	78
7	80
8	36

Find the probability of the player scoring more than 65 runs in next match.

• A. $\frac{3}{8}$
• B. $\frac{3}{4}$
• C. $\frac{5}{8}$
• D. $\frac{1}{2}$

Answer 1

The correct option is C $\frac{5}{8}$

We know, for an event E
$\text{P(E)}=\frac{\text{Number of trials in which the event happened}}{\text{Total number of trials}}$

Here, the event is the player scoring more than 65 runs.
Number of matches where the score is more than 65 = 5
Total number of matches = 8
Hence,
$\therefore \text{Required probability}=\frac{5}{8}$