If `A` and `B` are two independent events such that `P(A)=0.3 ,\ P(AuuB)=0.5` , then `P(A//B)-P(B//A)=` b) `3/(25)` c) `1/(70)` d) `1/7`

Options

A. a) `2/7`
B. b) `3/(25)`
C. c) `1/(70)`
D. d) `1/7`

Answer

c) `1/(70)`

Explanation

`A` and `B` are two independent events


`P(AnnB)=P(A)*P(B)`


`P(AuuB)=P(A)+P(B)-P(AnnB)`


`P(AuuB)=P(A)+P(B)-P(A)*P(B)`


`0.5=0.3+P(B)-0.3P(B)`


`0.2=0.7P(B)`


`P(B)=2/7`


`P(AnnB)=P(A)*P(B)=3/10*2/7=3/35`



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