Question

Adaeze is a human resources consultant who has sent employee-training proposals to two companies: a large bank in Manhattan, and a grocery store chain headquartered in Newark. Adaeze believes she has a 65% chance of winning the bank training contract and a 40% chance of winning the grocery store training contract. If she wins the grocery store training contract, she believes that she has a 25% chance of winning the bank training contract.

a. Calculate the probability that Adaeze will win both the bank training contract and the grocery store training contract.

b. Calculate the probability that she will win at least one of the contracts.

c. If Adaeze does not win the grocery store training contact, calculate the probability that she will not win the bank training contract either.

d. Draw a well-labelled Venn diagram for this problem

Answer 1