標題:
HELP!! probability question
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發問:
In a certain card game consisting of an ordinary deck of playing cards, a person draws a card from the deck and wins $50 if he gets a spade Ace, $30 of he gets one of the remaining Aces, $20 if he gets a face card, and $5 if he gets a card number 2 through 10.a. Determine the cost of the game at which the house... 顯示更多 In a certain card game consisting of an ordinary deck of playing cards, a person draws a card from the deck and wins $50 if he gets a spade Ace, $30 of he gets one of the remaining Aces, $20 if he gets a face card, and $5 if he gets a card number 2 through 10. a. Determine the cost of the game at which the house will break even. b, If the house set the price at $20 per game, how much on the average will he be able to win per game?
最佳解答:
Q: In a certain card game consisting of an ordinary deck of playing cards, a person draws a card from the deck and wins $50 if he gets a spade Ace, $30 of he gets one of the remaining Aces, $20 if he gets a face card, and $5 if he gets a card number 2 through 10. ( a ) Determine the cost of the game at which the house will break even. ( b ) If the house set the price at $20 per game, how much on the average will he be able to win per game? Sol: P?A ＝ 1/52, P???A ＝ 3/52, PJ~K ＝ 12/52, P2~10 ＝ 36/52 ( a ) Expectation ＝ P(?A) × 50 ＋ P???A × 30 ＋ PJ~K × 20 ＋ P2~10 × 5 Ex ＝ 1/52 × 50 ＋ 3/52 × 30 ＋ 12/52 × 20 ＋ 36/52 × 5 Ex ＝ 50/52 ＋ 90/52 ＋ 240/52 ＋ 180/52 Ex ＝ 560/52 ≒ 10.77 ( b ) 10.77 － 20.33 ＝ - 9.23 Ans: ( a ) $10.77 ( b ) he loses $9.23 per game. Send me a letter if any steps you don’t understand.
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