The probability that a certain beginner at golf gets a good shot … - Vidyadip

MCQ

The probability that a certain beginner at golf gets a good shot if he uses the correct club is $\frac{1}{3}$ and the probability of a good shot with an incorrect club is $\frac{1}{4}$. In his bag are $5$ different clubs, only one of which is correct for the shot in question. If he chooses a club at random and takes a stroke, then the probability that he gets a good shot, is

A
$\frac{1}{3}$
B
$\frac{1}{{12}}$
✓
$\frac{4}{{15}}$
D
$\frac{7}{{12}}$

✓

Answer

Correct option: C.

$\frac{4}{{15}}$

c
(c) Required probability = probability of right club and good shot or probability of wrong club and good shot $ = \frac{1}{5} \times \frac{1}{3} + \frac{4}{5} \times \frac{1}{4} = \frac{4}{{15}}.$

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