Question

Assume that there are direct flights from New York to San Francisco, flights with a stop at Denver, flights with a stop at Detroit, flights with a stop at Chicago, and flights with a stop at Indianapolis. Each of these types of routes has 2 different flights every day. (1) An experiment consists of selecting a type of flight and then a time. How many outcomes to this experiment are there? (2) An experiment consists of selecting a time and then a flight route. How many outcomes are there to this experiment?

Answer 1

(1)

Type of flight can be selected in 5 ways: (i) direct flights from New York to San Francisco, (ii) flights with a stop at Denver, (iii) flights with a stop at Detroit, (iv) flights with a stop at Chicago, and (v) flights with a stop at Indianapolis

Once the type of flight is selected, time is selected in 2 ways.

Thus,

Number of outcomes to this experiment = 52 = 25

Answer is:

25

(2)

time is selected in 2 ways.

Once the time is selected, the type of flight can be selected in 5 ways: (i) direct flights from New York to San Francisco, (ii) flights with a stop at Denver, (iii) flights with a stop at Detroit, (iv) flights with a stop at Chicago, and (v) flights with a stop at Indianapolis

Thus,

Number of outcomes to this experiment = 25 = 32

Answer is:

25