Question

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
• D. 0.81450625

Answer 1

Answer: (D)

0.81450625

Answer 2

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