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Fundamentals of Probability, with Stochastic Processes | 3rd Edition | ISBN: 9780131453401 | Authors: Saeed Ghahramani
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In a lottery, a player pays $1 and selects four distinct

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QUESTION:

In a lottery, a player pays $1 and selects four distinct numbers from 0 to 9. Then, from an urn containing 10 identical balls numbered from 0 to 9, four balls are drawn at random and without replacement. If the numbers of three or all four of these balls matches the players numbers, he wins $5 and $10, respectively. Otherwise, he loses. On the average, how much money does the player gain per game? (Gain = win loss.)

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QUESTION:

In a lottery, a player pays $1 and selects four distinct numbers from 0 to 9. Then, from an urn containing 10 identical balls numbered from 0 to 9, four balls are drawn at random and without replacement. If the numbers of three or all four of these balls matches the players numbers, he wins $5 and $10, respectively. Otherwise, he loses. On the average, how much money does the player gain per game? (Gain = win loss.)

ANSWER:

Step 1 of 6

We are given that a player pays  and selects four distinct numbers from 0 to 9 and then he draws four balls at random and without replacement from an urn containing 10 identical balls numbered from 0 to 9 . We need to find the amount that the player gain per game on average if he wins  on matching three numbers with the balls and  on matching the four numbers with the balls.

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