SOLUTION: A student is graduating from their university and has applied to jobs at company A and B. The student thinks they have a 40% chance of receiving an offer from company A and a 50% c

Question 1028688: A student is graduating from their university and has applied to jobs at company A and B. The student thinks they have a 40% chance of receiving an offer from company A and a 50% chance of receiving an offer from company B. If the student receives an offer from company A, the student believes they have a 70% chance of receiving an offer from company B.
What is the probability that both companies will make the student an offer?

please help
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Let P mean probability
:
We are given
:
P(B | A) = 0.70
:
We know
:
P(B | A) = P(A intersect B) / P(A)
:
0.70 = P(A intersect B) / 0.40
:
P(A intersect B) = 0.70 * 0.40 = 0.28
:
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Probability that both companies make a student an offer is 0.28
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:
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