The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditio ns must be true? a. P(B|A) = y
b. P(A|B) = y
c. P(B|A) = x
d. P(A and B) = x + y
e. P(A and B) = x/y
P(A)
2 answers:
If two events are independent, then
.
Use formulas for conditional probabilities:
.
For independent events these formulas will be:
.
Now in your case and .
This shows that the only correct choice is A.
The right answer for the question that is being asked and shown above is that: "d. P(A and B) = x + y." The probability of event A is x, and the probability of event B is y. If the two events are independent, the condition must be true is this d. P(A and B) = x + y
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