Part 1 A construction firm has bid on two different contract

Part 1) A construction firm has bid on two different contracts. Let E1 be the event that the bid on the first contract is successful and define E2 analogously for the second contract. Suppose that P(E1)=0.4 and P(E2)=0.3 and that E1 and E2 are independent.

a. find the probability that at least one of the bids is succesful

Part 2) 55% consume coffee 45 % consume soda and 70% consume at least one

a What is the probability that doesn

Solution

Part 1) A construction firm has bid on two different contracts. Let E1 be the event that the bid on the first contract is successful and define E2 analogously for the second contract. Suppose that P(E1)=0.4 and P(E2)=0.3 and that E1 and E2 are independent.

P(E1 not successful) = 1-0.4=0.6

P(E2 not successful) = 1-0.3=0.7

P(E1 and E2 not successful) = 0.6*0.7=0.42

probability that at least one of the bids is successful = 1-0.42=0.58

Part 2) 55% consume coffee 45 % consume soda and 70% consume at least one

a What is the probability that doesn