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If (A)=3/10,P(B)=2/5 and P(AcupB)=3/5 th...

If `(A)=3/10,P(B)=2/5 and P(AcupB)=3/5` then P(B/A)+P(A/B) equals to

A

`1/4`

B

`1/3`

C

`5/12`

D

`7/12`

Text Solution

Verified by Experts

Here, `P(A)=3/10,P(B)=2/5andP(AcupB)=3/5`
`P(B//A)+P(A//B)=(P(BcapA))/(P(A))+(P(AcapB))/(P(B))`
`=(P(A)+P(B)-P(AcupB))/(P(A))`+`=(P(A)+P(B)-P(AcupB))/(P(B))`
`[{:(becauseP(AcupB)=P(A)+P(B)-P(AcapB)),("i.e.,"P(AcapB)=P(A)+P(B)-P(AcupB)):}]`
`=(3/10+2/5-3/5)/(3/10)+(3/10+2/5-3/5)/(2/5)`
`=(1/10)/(3/10)+(1/10)/(2/5)=1/3+1/4=7/12`
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NCERT EXEMPLAR-PROBABILITY-Probability
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  6. If P(A)=0.4,P(B)=0.8 and P(B/A)=0.6, then P(AcupB) is equal to

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  7. If A and B are two events and Anephi,Bnephi , then

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  10. In question 64 (above),P(B/A') is equal to

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  11. If P(B)=3/5,P(A//B)=1/2andP(AcupB)=4/5, then P(AcupB)'+P(A'cupB) is eq...

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  13. If A and B are suchg that events that P(A)gt0andP(B)ne1, then P(A'//B'...

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  14. If A and B are two events with with P(A)=3/5 and P(B)=4/9, then P(A'ca...

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  15. If two events are independent, then

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  17. If the events A and B are independent, then P(AcapB) is equal to

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  19. A abg contains 5 red and blue balls. If 3 balls are drawn at random wi...

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