Out of 12 students in a class, 6 are wearing blue shirts, 4 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 options
A) 25/33  B) 35/44  C) 65/77  D) 75/88  E) 85/99
Total possible ways to choose 4 students out of 12 = 12C4 = 495   The number of ways to choose 4 students with no green shirts = 8C4 = 70   P(no green shirts) = 70/495 = 14/99   P(at least 1 green shirt) = 1 - 14/99 = 85/99   The answer is 85/99.
<result>E</result>
Out of 12 students in a class, 6 are wearing blue shirts, 4 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?