The probability that an automobile will be stolen and found within one week is 0.0006. Then probability that an automobile will be stolen is 0.0015. the probability that a stolen automobile will be found in the week is `0. 3` b. `0. 4` c. `0. 5` d. `0. 6`

Options

A. `0.3`
B. `0.4`
C. `0.5`
D. `0.6`

Answer

B

Explanation

`P(SnnF)=0.0006,` where S is the event that the motor cycle is stolen and F is the event that the mioter cycle is found. Therefore,
`P(S)=0.0015`
`P(F//S)=(P(FnnS))/(P(S))=(6xx10^(-4))/(15xx10^(-4))=2/5`