For two dependent events A and B it is given that `P(A) = 0.2` and `P(B) = 0.5` If ` A sube B` then the value of conditional probabilites `P(A|B)` and `P(B|A) are respectively

Options

A. `(2)/(5),(3)/(5)`
B. `(2)/(5) ,1`
C. `1,(2)/(5)`
D. Information is insufficient

Answer

B

Explanation

`A sube B rArr A nn B =A`
`therefore P((A)/(B)) = (P(A nn B))/(P(B)) = (P(A))/(P(B)) = (0.2)/(0.5) = (2)/(5)`
`P((B)/(A)) = (P(A nn B))/(P(A)) = (P(A))/(P(A)) = (0.2)/(0.2) = 1`