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Each game you play is a win with probability p. You plan

Chapter 4, Problem 22STE

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QUESTION:

Problem 22STE

Each game you play is a win with probability p. You plan to play 5 games, but if you win the fifth game, then you will keep on playing until you lose.

(a) Find the expected number of games that you play.

(b) Find the expected number of games that you lose.

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QUESTION:

Problem 22STE

Each game you play is a win with probability p. You plan to play 5 games, but if you win the fifth game, then you will keep on playing until you lose.

(a) Find the expected number of games that you play.

(b) Find the expected number of games that you lose.

ANSWER:

Solution:

Step 1 of 3:

The probability of winning a game is p.

We plan to play 5 games, if you win the fifth game, then you will keep on playing until lose.

  1. We have to find the expected number of games that you play.
  2. We have to find the expected number of games that you lose.


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