A factory produces cricket balls. The probability that the manufactured ball is defective is 0.05. Then, the probability of the ball being perfect will be:

0.95

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1.05

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Solution

The correct option is A
0.95

The balls manufactured in the factory can either be defective or perfect. Thus, it is a complementary event.

The probability that the selected ball is defective, $P (E) = 0.05$
Let, $P (¯ ¯¯ ¯ E)$ be the probability that the selected ball is perfect.
In case of complementary events,
$P (E) + P (¯ ¯¯ ¯ E) = 1$
$\Rightarrow 0.05 + P (¯ ¯¯ ¯ E) = 1$
$\Rightarrow P (¯ ¯¯ ¯ E) = 0.95$
Thus, the probability of the ball being perfect = 0.95

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