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If two events are independent, then...

If two events are independent, then

A

they must be mutually exclusive

B

the sum of their probabilities must be equal to 1

C

Both (a) and (b) are correct

D

none of the above is correct

Text Solution

Verified by Experts

If two events A and B are independent, then we knpw that
`P(AcapB)=P(A)cdotP(B),P(A)ne0,P(B)ne0`
`Since,m a nd B have a common outcome
Further, mutually exlusive events never have a common outcome.
In other words, two independent eevnts having non-zeroprobabilities of occurrence cannot be mutuallyexclusive events having non-zero probabilitiesof outcome cannot be independent.
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