The simplest from ratio for 27/45
2 answers:
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Complete question:
Calculate each probability given that P(A) = 0.2, P(B) = 0.8, and A & B are independent.
a) compute P(A and B)
b) If P(A|B) = 0.7, compute P(A and B).
Answer:
(a) P(A and B) = 0.16
(b) P(A and B) = 0.56
Step-by-step explanation:
Two events are independent if occurrence of one event does not affect possibility of occurrence of another.
(a) if A and B are independent, then P(A and B) = P(A) x P(B)
= 0.2 x 0.8
= 0.16
(b) If P(A|B) = 0.7, compute P(A and B)
Considering the notations of independent events,
= 0.7 x 0.8
= 0.56