In Pennsylvania\'s Cash\'s Lottery, balls are numbered 1 to 43. Five balls are s

Question

In Pennsylvania's Cash's Lottery, balls are numbered 1 to 43. Five balls are selected does not replacement. The order in which the balls are selected does not matter. Determine your probability of winning Pennsylvania's Cash 5 with one ticket. Write your answer in fraction The table below describes the smoking habits of group of admit suffers. If one people is randomly selected, find these probabilities. a) That the person is a women and heavy smoker. Write you answer with three decimal places and fraction. b) That the person is a men given that it is occasional smoker. Write you answer with three decimal places and fraction c) That the person is a women or regular smoker. Write you answer with three decimal places and fraction. A popular casino table game is three-card poker. One aspect of the game is the "pair plus" bet in which a player is paid a dollar amount for any hand of a pair or better, regardless of the hand the dealer has. The table shows the profit and probability of various hands of a player playing the $5 pair plus bet. a. What is the expected profit when playing the $5 pair plus bet in three card poker. Two decimal places. b. In you play the game for 4 hours with an average of 35 hands per hour, how much would you expect to lose?

Explanation / Answer

P(Woman and Heavy smoker) = 78 cases/786 cases=0.099

P(Men/Occasional Smoker) = 91/163= 0.558

P(women or regualr smoker) = n(Woman)+n(regular smoker) - n(woman and regular smoker) / total = [344+163-72]/786=0.5534

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