A salesperson uses three different airlines. The probabilities of switching from one airline to another in consecutive flights are shown below. If the last flight was on Delta, what is the probability that the next was on American?   American Delta Southwest American 0.5 0.25 0.25 Delta 0.2 0.6 0.2 Southwest 0.3 0.3 0.4 A   0.5 B   0.2 C   0.25 D   0.6

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.5: Multistage Decision Problems
Problem 19P
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A salesperson uses three different airlines. The probabilities of switching from one airline to another in consecutive flights are shown below.

If the last flight was on Delta, what is the probability that the next was on American?

 

American

Delta

Southwest

American

0.5

0.25

0.25

Delta

0.2

0.6

0.2

Southwest

0.3

0.3

0.4

A  

0.5

B  

0.2

C  

0.25

D  

0.6

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