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For three events A ,B and C ,P (Exactl...

For three events `A ,B` and `C ,P` (Exactly one of `A` or `B` occurs) `=P` (Exactly one of `B` or `C` occurs) `=P` (Exactly one of `C` or `A` occurs) `=1/4` and `P` (All the three events occur simultaneously) `=1/6dot` Then the probability that at least one of the events occurs, is :

A

`(3)/(16)`

B

`(7)/(32)`

C

`(7)/(16)`

D

`(7)/(64)`

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The correct Answer is:
C
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For three events A, B and C, P (Exactly one of A or B occurs) = P (Exactly one of B or C occurs) = P (Exactly one of C or A occurs) = (1)/(4) and P(All the three events occurs simultaneously = (1)/(16) . Then the probability that at least one of the events occurs, is :

For three events A,B and C,P (Exactly one of A or B occurs) =P (Exactly one of B or C occurs) =P( Exactly one of C or A occurs) occurs) P (All the three events occur simultaneously) =(1)/(6). Then the probability that at least one of the events occurs,is : (7)/(64) (2) (3)/(16) (3) (7)/(32) (4) (7)/(16)

If A and B are two events,the probability that at most one of these events occurs is

For the three events A, B and C, P(exactly one of the events A or B occurs) = P(exactly one of the events B or C occurs) =P(exactly one of the events C or A occurs)= p and P(all the three events occur simultaneously) = p^2, where 0ltplt1/2. Then, find the probability of occurrence of at least one of the events A, B and C.

For the three events A ,B ,a n dC ,P (exactly one of the events AorB occurs)=P (exactly one of the two evens BorC )=P (exactly one of the events CorA occurs)=pa n dP (all the three events occur simultaneously)=p^2w h e r eo

If M and N are any two events, then probability that at least one of them occurs is:

MODERN PUBLICATION-PROBABILITY-COMPETITION FILE
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