The probability of an apple dropping on Sir Issac Newton's head in 0.30 if he sits underneath the apple tree for 30 minutes. What is the probability of an apple dropping on his head if he sits there for just 10 minutes ?
5-Ans- Suppose probability of an apple dropping on Sir Issac Newton's head if he sits for K minutes is P(K), and the probability of no apple dropping on his head for those K minutes is P(K') = 1 - P(K).
Hence, P(30) = 1 - P(30')
or, 0.30 = 1 - P(30')
or, 0.30 = 1 - [P(10')xP(10')xP(10') ]
or, P(10') = (1 - 0.30)1/3
or, P(10') = 0.8879
Thus, P(10) = 1 - P(10') = 0.1121