SOLUTION: The expression P(A and B) = P(A)P(B|A) is valid if
only if A equals B'.
for any events A and B.
A and B are dependent.
A and B are mutually exclusive.
Algebra ->
Probability-and-statistics
-> SOLUTION: The expression P(A and B) = P(A)P(B|A) is valid if
only if A equals B'.
for any events A and B.
A and B are dependent.
A and B are mutually exclusive.
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The expression P(A and B) = P(A)P(B|A) is valid if
only if A equals B'.
for any events A and B.
A and B are dependent.
A and B are mutually exclusive.
A and B are independent.
Solution:
By definition
P(B|A)=P(B∩A)/P(A), without conditions on any of the events.
so the expression given is true for all A and B.
