Suppose that A & b are mutually exclusive events. Then P(A)=.3 and P(B)=.5. What is the probability that either A or B occurs? A occurs but b doesn't. Both A and B occur. 1) Since the are mutually exclusive: P(A∪B)=P(A)+P(B)=.3+.5=.8 2) A occurs but B does not: .3 3) Both A and B occur: Since they are mutually exclusive: P(A∩B)=0 or the empty set. Are these correct

sexiboi150nc 2022-09-07 Answered
Suppose that A & B are mutually exclusive events. Then P ( A ) = .3 and P ( B ) = .5. What is the probability that either A or B occurs? A occurs but b doesn't. Both A and B occur.
1) Since the are mutually exclusive:
P ( A B ) = P ( A ) + P ( B ) = .3 + .5 = .8
2) A occurs but B does not: .3
3) Both A and B occur:
Since they are mutually exclusive:
P ( A B ) = 0 or the empty set
Are these correct?
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Answers (1)

Zara Pratt
Answered 2022-09-08 Author has 12 answers
Think about 2)
We always have:
P ( A ) = P ( A B ) + P ( A B C )
but now that A and B are mutually exclusive, we have P ( A B ) = 0
thus: P ( A B C ) = P ( A )
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New questions

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historical past/issues:
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