Three events A, B and C are defined in the sample space S. The events A and B are mutually exclusive and A and C are independent. What is P(A|C)?
P(A) = 0.2, P(B) = 0.4 and P(A uu C) = 0.7
1 Answer
Jan 28, 2017
Explanation:
We use the definition of Conditional Probability;
P(X | Y) = (P( X nn Y)) / (P(Y))
Se we have
P(A | C) = (P( A nn C) ) / (P(C))
We are also told that
:. P(A nn C) = P(A) * P(C)
So:
P(A | C) = (P(A) * P(C)) / (P(C))
" " = P(A)
" " = 0.2
