If you play roulettes and bet on red the probability that you win is . 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 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.