Showing posts with label counting methods. Show all posts
Showing posts with label counting methods. Show all posts

Tuesday, February 21, 2012

Probability

Mathematics: Standard Multiple Choice

Read the following SAT Question and then select your answer. 

Remember to take the time to read carefully, to note the bottom line, to choose the fastest way to solve the problem, and to match your solution to the answer choices.

Of 5 employees, 3 are to be assigned an office and 2 are to be assigned a cubicle. If 3 of the employees are men and 2 are women, and if those assigned to the office are to be chosen at random, what is the probability that the offices will be assigned to 2 of the men and 1 of the women?

First, read carefully. There is a trap lurking here; it is easy to assume that the 3 men will get the offices and the 2 women will get cubicles just because the numbers match up. However, the question says that the offices are assigned randomly, not based on gender, so you will need a more sophisticated way to solve the problem. What is the bottom line? The question asks for "the probability that the offices will be assigned to 2 of the men and 1 of the women," so abbreviate that and put it at the top of your scratch work.

prob m,m,w=?