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The probability that at least one of the...

The probability that at least one of the events `A and B` occurs is 0.6. If `A and B` occur simultaneously with probability 0.2, then find `P( A )+P( B )dot`

A

`0.4`

B

`0.8`

C

`1.2`

D

`1.4`

Text Solution

Verified by Experts

The correct Answer is:
C
`P(A uu B) = P(A)+P(B)-P(A nn B)`
`therefore " " 0.6 = P(A)+P(B)-0.2`
`rArr P(A)+P(B)=0.8`
`rArr P(bar(A))+P(bar(B))=1.2 " " [because P(A)=1-P(bar(A))]`
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