In the TV show and game “Who Wants to be a Millionaire?” the participants get four choices for each question and the questions get tougher and tougher the longer a participant stays in the game. A participant can decide to stop at any point and take the cash earned. The participant also has three life-lines: 

1) Reduce the number of choices to two, 

2) Call a friend, and 

3) Ask the auditorium. There are two stop levels, $1,000 and $32,000. If the participant reaches that level, he (or she) can keep that money, otherwise he (or she) loses all the money earned.

The following are each of the question’s worth:

Assuming that the rate of success starts with 0.95 for question 1 and is reduced linearly down to 0.25 for question 15, draw a decision tree for a participant in the show.

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15 14 13 12 11 10 0060 7 65 UWA 2 1 1 000 000 $ 500 000 $ 250 000 $ 125 000 $ 64 000 $ 32 000 $ 16 000 $ 8. 000 $ 4 000 $ 2 000 $ 1 000 $ 500 $ 300 $ 200 $ 100 $