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.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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