The makers of a diet cola claim that its taste is indistinguishable from the full-calorie version of the same cola. To investigate, a student names Amy prepared small samples of each type of soda in identical cups. Then she had 15 volunteers taste each cola in a random order to try to identify which was the diet cola and which was the regular cola. If we assume that the volunteers couldn't tell the difference, then each one was guessing with a chance of being correct. Let Y = the number volunteers who correctly identify the colas. Use the binomial probability formula or your calculator to find the following. P(Y = 10)