15. Suppose you pay $2 to play a game of chance, in which you toss a coin and roll a die. You are paid $10 if your coin shows a tail and you roll at least a five on the die. Let the random variable X be the profit of the game or the amount of money won or lost per roll. Negative profit corresponds to lost money. Fill out the following propability distribution table Event P(X) twupossrble oute ffned probabitity fifed EI -2 a. Over the long term, what is your expected profit (or loss) per game? , 33 47a / b. If you played this game 100 times, how much would you expect to win /loose?

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15. Suppose you pay $2 to play a game of chance, in which you toss a coin and roll a die.
You are paid $10 if your coin shows a tail and you roll at least a five on the die.
Let the random variable X be the profit of the game or the amount of money won or lost per
roll. Negative profit corresponds to lost money.
Fill out the following propability distribution table
Event
P(X)
twupossrble oute
ffned probabitity
fifed
EI -2
a. Over the long term, what is your expected profit (or loss) per game? , 33 47a /
b. If you played this game 100 times, how much would you expect to win /loose?
Transcribed Image Text:15. Suppose you pay $2 to play a game of chance, in which you toss a coin and roll a die. You are paid $10 if your coin shows a tail and you roll at least a five on the die. Let the random variable X be the profit of the game or the amount of money won or lost per roll. Negative profit corresponds to lost money. Fill out the following propability distribution table Event P(X) twupossrble oute ffned probabitity fifed EI -2 a. Over the long term, what is your expected profit (or loss) per game? , 33 47a / b. If you played this game 100 times, how much would you expect to win /loose?
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