posted by Tony .
3 students will represent your school at a conference at the state capital. A drawing will be held to select the 3 representatives from a group of 5 finalsts. If you and your friend are both finalists, what are the chances that both of your names will be drawn?
Is it 2 out of 5 chance? Not sure how to figure this one.
Think of the possible combinations of 3 that can be drawn from 5. Number the students from 1 to 5. Here are the possibilities. Since the order of selection is not important, you are dealing with combinations rather than permutations. In other words, order is not important.
123, 124, 125, 234, 235, 345, 145, 245, 134 and 135.
Assuming that you and your friends are 1 and 2, what are the chances of you both being drawn?
I hope this helps. Thanks for asking.