Answer:
75%
Explanation:
Assume that:
X is the probability that the Peter, qualified accountant would receive offer from the accounting firm AND
Y is the probability that the Peter, qualified accountant would receive offer from the consulting firm.
Here,
P(X) is 50%, P(Y) is 40% and P(X∪Y) is 60%
Now we want to find P(X/Y) = ?
We also know that:
P(X/Y) = P(X∩Y) <u>STEP1</u> / P(Y)
By putting values, we have:
P(X/Y) = 0.3 / 0.4 = 0.75 = 75%
<u>Step 1: Find P(X∩Y)</u>
P(X∪Y) = P(X) + P(Y) - P(X∩Y)
This implies that:
P(X∩Y) = P(X) + P(Y) - P(X∪Y)
By putting values we have:
P(X∩Y) = 0.5 + 0.4 - 0.6 = 0.3
