A game is played by picking a card from a standard deck of cards and is returned for the next game. The player receives P1040 if an ace card is picked, P520 if a face card is picked, and pay P260 if the card picked is any of the other cards in the deck. If X is the random variable for the gain in this game, which of the following conclusions is correct? O The game is fair since the expected value of the gain is 1300 O The game is not fair since the expected value of the gain is 20. O The game is fair since the expected value of the gain is 20.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 9CC: a Suppose that a game gives payouts a1,a2,...,an with probabilities p1,p2,...pn. What is the...
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A game is played by picking a card from a standard deck of cards and is returned for the next
game. The player receives P1040 if an ace card is picked, P520 if a face card is picked, and pays
P260 if the card picked is any of the other cards in the deck.
If X is the random variable for the gain in this game, which of the following conclusions is
correct?
O The game is fair since the expected value of the gain is 1300
O The game is not fair since the expected value of the gain is 20.
O The game is fair since the expected value of the gain is 20.
O The game is not fair since the expected value of the gain is 1300
Transcribed Image Text:A game is played by picking a card from a standard deck of cards and is returned for the next game. The player receives P1040 if an ace card is picked, P520 if a face card is picked, and pays P260 if the card picked is any of the other cards in the deck. If X is the random variable for the gain in this game, which of the following conclusions is correct? O The game is fair since the expected value of the gain is 1300 O The game is not fair since the expected value of the gain is 20. O The game is fair since the expected value of the gain is 20. O The game is not fair since the expected value of the gain is 1300
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