A casino is operating a roulette wheel that has a 0.56
probability of winning for the casino. In
other words, there is a 0.42 probability of the player winning a
spin. If a player wins a spin,
he gets his bet back and he also wins the amount he bet. If a
player loses a spin, he loses the
amount of money he bet. It costs the casino $850 each day to
operate the wheel. 50 players
place a bet on the wheel per day. They bet $265 per spin. Calculate
the probability that the
wheel will be profitable for the casino on an average day. Note
that there are a number of
ways to calculate this probability, you can choose any method you
prefer. When entering the
results, enter the probabilities as values between 0 and 1, and not
as percentages.