In a lottery game, a player will pick at random a number from the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.  If the number picked is prime, the player wins P10. If the number picked is composite the player losses P10. If the number picked is 1 which is neither prime or composite, the player neither loss nor win anything.  Let the random variable ? have the values 0, -10, & 10 representing the possible winnings of the player. If the player will play the game 1000 times, what is the expected gains or losses of the player?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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In a lottery game, a player will pick at random a number from the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. 

If the number picked is prime, the player wins P10. If the number picked is composite the player losses P10. If the number picked is 1 which is neither prime or composite, the player neither loss nor win anything.

 Let the random variable ? have the values 0, -10, & 10 representing the possible winnings of the player.

  1. If the player will play the game 1000 times, what is the expected gains or losses of the player?
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