Out of 12 students in a class, 7 are wearing blue shirts, 3 are wearing green shirts, and 2 are wearing red shirts. Four students are to be selected at random. What is the probability that at least one is wearing a green shirt?  Choose the correct choice from the following choices.
A) 25/33  B) 31/44  C) 41/55  D) 53/66  E) 65/77
Total possible ways to choose 4 students out of 12 = 1241/554 = 495   The number of ways to choose 4 students with no green shirts = 941/554 = 126   P(no green shirts) = 126/495 = 14/55   P(at least 1 green shirt) = 1 - 14/55 = 41/55   The answer is 41/55.
<result>C</result>
Out of 12 students in a class, 7 are wearing blue shirts, 3 are wearing green shirts, and 2 are wearing red shirts. Four students are to be selected at random. What is the probability that at least one is wearing a green shirt?