Heather is flying from city A to city C with a connection in

Heather is flying from city A to city C with a connection in city B. The probability her first flight arrives on time is 0.25. If the flight is on time, the probability that her luggage will make the connecting flight is 0.8, but if the flight is delayed, the probability that the luggage will make it is only 0.65. In either case, Heather makes the flight.

What is the probability that Heather\'s luggage is there to meet her in city C?

The probability is: ___ (Type an integer or a decimal.)

Solution

P(Heather\'s luggage meet her in city)=0.25*0.8+0.75*0.65

=0.6875