Responses
Show that P(A and B)=P(A)+P(B)
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Show that upper P left parenthesis upper A and upper B right parenthesis equals upper P left parenthesis upper A right parenthesis plus upper P left parenthesis upper B right parenthesis .
Show that P(A and B)=P(B)P(A)
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Show that upper P left parenthesis upper A and upper B right parenthesis equals Start Fraction upper P left parenthesis upper B right parenthesis over upper P left parenthesis upper A right parenthesis End Fraction .
Show that P(A and B)=P(A)P(B)
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Show that upper P left parenthesis upper A and upper B right parenthesis equals Start Fraction upper P left parenthesis upper A right parenthesis over upper P left parenthesis upper B right parenthesis End Fraction .
Show that P(A and B)=P(A)⋅P(B)
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1 answer
To determine if the outcome of two events \( A \) and \( B \) is independent, the correct criterion is:
Show that \( P(A \text{ and } B) = P(A) \cdot P(B) \).
This means that if the probability of both events occurring together (the joint probability) is equal to the product of their individual probabilities, then the events are independent.
