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6. Using the Conditional Probability formula to find the following probabilities.?
6. Using the Conditional Probability formula to find the following probabilities.
a. If P( A) = 5/7 and P(B/A) = 2/6, then find P( A∩B), as a fraction in lowest terms. (1 mark)
b. If P( A∩B) =0.09 P( A) =0.2, then find P(B/A) , to the nearest hundredth. (1 mark)
1 Answer
- ?Lv 72 months agoFavorite Answer
I'm assuming the formula you're using is some variant of
P(A∩B) = P(A) P(B|A)
a) If P(A) = 5/7 and P(B|A) = 2/6, then
P(A∩B) = P(A) P(B|A) = (5/7) (2/6) = (5/7) (1/3) = 5/21
b) If P(A∩B) = 0.09 and
P(A) = 0.2, then
P(B|A) = P(A∩B) / P(A) = 0.09 / 0.2 = 0.45
