Question

In a certain math class, it is known that 18 students LOVE math review, and 5 students dislike math review. The teacher randomly selects three students from the class. What is the probability that all three students love math review?

Answer 1

The probability that the first random choice will be a matho-file and not a -phobe is 18/23. The probability of the second one is 17/22, and for the third one it's 16/21. The probability of all 3 is 4,896/10,626 = (18x17x16)/(23x22x21). That's 46.1% (rounded).