1.

If A and Bare two events such that 2P(A) = 3P(B), where 0 lt P(A) lt P(B) lt 1, thenwhich one of thefollowingis correct?

Answer»

`P(A |B) lt P(B |A) lt P(A NNB)`
`P(A nn B) lt P(B|A) lt P(A |B)`
`P(B|A) lt P(A|B) lt P(A nn B)`
`P(A nn B) lt P(A|B)lt P(B|A)`

SOLUTION :When two dice are rolled, the events where we get sum of 7 is
`E={(1,6),(2,5),(3,4),(4,3),(5,2),(6,1)}`
`therefore n(E)=6`
Total number of events, n(S)=36
`therefore "PROBABILITY"=(n(E))/(n(S))=(6)/(36)=(1)/(6)`


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