# If you play roulettes and bet on 'red' the probability that you win is 18/38 = .4737. People often repeat this between several times. We can consider each time we play a 'trial' and consider it a success when we win, so p = 18/38 or (.4737) and q = 20/38   or (.5263).Suppose that Caryl always places the same bet when she plays roulette, \$5 on 'red'. Caryl might play just once, or might play several times. She has a profit (having won \$5 more times than she lost \$5) if she wins more than half of the games she plays.a) what is the probability that Caryl has a profit if she plays only one time? b) suppose Caryl has decided that she is going to play 13 times. to find the probability that has a profit, we can treat this like a binomial. Show the calculator input and result as your calculator to find the probability that she makes a profit when she plays 13 times.

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If you play roulettes and bet on 'red' the probability that you win is 18/38 = .4737. People often repeat this between several times. We can consider each time we play a 'trial' and consider it a success when we win, so p = 18/38 or (.4737) and q = 20/38   or (.5263).

Suppose that Caryl always places the same bet when she plays roulette, \$5 on 'red'. Caryl might play just once, or might play several times. She has a profit (having won \$5 more times than she lost \$5) if she wins more than half of the games she plays.

a) what is the probability that Caryl has a profit if she plays only one time?

b) suppose Caryl has decided that she is going to play 13 times. to find the probability that has a profit, we can treat this like a binomial. Show the calculator input and result as your calculator to find the probability that she makes a profit when she plays 13 times.

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Step 1

Here, the probability of winning a game is 0.4737. if she win the game , then she will get \$5.

Step 2

a.

Caryl plays only one time. Therefore, there is one chance either she will win or lose the game. If she win the game then she will get \$5 without any additional amount. If she win more than one game, then she will get profit. In case, if she lose the first game for the first time will lose the \$5 amount. Therefore, the probability of winning a game is 0.4737.

Step 3

b.

consider X is a random variable that represents the number of games...

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