The probability that an event will fail to happen is 0.05. The pr… - Vidyadip

MCQ

The probability that an event will fail to happen is $0.05$. The probability that the event will take place on $4$ consecutive occasions is

A
$0.00000625$
B
$0.18543125$
C
$0.00001875$
✓
$0.81450625$

✓

Answer

Correct option: D.

$0.81450625$

d
(d) We have $P(\bar A) = 0.05 \Rightarrow P(A) = 0.95$

Hence the probability that the event will take place in $4$ consecutive occasions

$ = {\{ P(A)\} ^4} = {(0.95)^4} = 0.81450625$.

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