Question

Problem 9 You draw a card from a deck. If you get a club you get $5. If you get an Ace you get $10. For all other cards you receive nothing. Let X be the random variable of money won. Create a probability distribution model for this game.

Answer 1

Answer:

Given that:

You draw a card from a deck. If you get a club you get $5. If you get an Ace you get $10. For all other cards you receive nothing. Let X be the random variable of money won. Create a probability distribution model for this game.

P(X=$15) = Probability of getting the Ace of clubs = 1/52

P(X=$10) = Probability of getting an Ace other than the Ace of clubs = 12/52 = 4/13

P(X=$5) = Probability of getting a club other than the Ace of clubs = 3/52

P(X=$0) = Probability of getting a card which is neither a club nor an Ace = 36/52 = 9/13

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