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If E and F are events with P(E)<=P(F) an...

If `E` and `F` are events with `P(E)<=P(F)` and `P(EnnF)>0` then which one is not correct?

A

occurrence of `E rArr ` occurrence of F

B

occurrence of `F rArr` occurrence of E

C

non-occurrence of `E rArr` non-occurrence of F

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
C
It is given that, `P(E )leP(F)rArr E subeF " "`…..(i)
and `P(e nn F)gt0 rArr E sub F " "`….(ii)
(a) occurrence of `E rArr ` occurrence of F [from Eq. (i)]
(b) occurrence of `F rArr` occurrence of E [from Eq. (ii)]
(c ) non-occurrence of `E rArr ` occurrence of F
Hence, option (c )is not correct. [from Eq. (i)]
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