If two events are independent, then

Question

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

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

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.