Suppose you play a game that you can only either win or lose. the probability that you win any game is 55%, and the probability that you lose is 45%. each game you play is independent. if you play the game 20 times, write the function that describes the probability that you win 15 of the 20 times. here, if you define x as the number of wins, then x takes on the values 0, 1, 2, 3, 20. the probability of a success is p = 0.55. the probability of a failure is q = 0.45. the number of trials is n = 20. the probability question can be stated mathematically as p(x = 15).