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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` |
Answer» Correct Answer - 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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