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Suppose `Aa n dB` are two events with `P(A)=0. 5a n dP(AuuB)=0. 8.` Let `P(B)=p` if `Aa n dB` are mutually exclusive and `P(B)=q` if `Aa n dB` are independent events, then the value of `q//p` is_________.

A

`p=q`

B

`p=2q`

C

`2p=q`

D

`p+q=1`

Text Solution

Verified by Experts

The correct Answer is:
C
`(c )` `P(auuB)=P(A)+P(B)-P(AnnB)` ………`(i)`
When `A` and `B` are mutually exclusive, then `P(AnnB)=0`
`:.0.8=0.5+p`
`:.p=0.3`
When `A` and `B` are independent `P(AnnB)=P(A)*P(B)`
`:.` From `(i)` , `0.8=0.5+q-(0.5)q`
`:.0.3=(q)/(2)`
`impliesq=0.6`
`implies2p=q`
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