Bob is flying from New York to California with connection in

Bob is flying from New York to California with connection in Chicago. The probability that his first flight leaves on time is 0.15. If the flight is on time, the probability his luggage makes the connecting flight in Chicago is 0.95.

a. What is the probability that his flight is on time AND his luggage makes the connecting flight?

b. What is the probability that his flight is on time OR his luggage makes the connecting flight?

Solution

a. What is the probability that his flight is on time AND his luggage makes the connecting flight?

ans= P=0.15*0.95=0.1425

b. What is the probability that his flight is on time OR his luggage makes the connecting flight?

P(Aunion B)= P(A) +P(B)-P(A INTERSECTION B)

= 0.15 + 0.95 - 0.1425 = 0.9575