Question

Vanessa has two bags that contain slips of paper. One bag has 4 slips of paper that are numbered 2, 3, 4, and 5. The other bag has 4 slips of paper that are numbered 3, 4, 5, and 6.

Vanessa chooses one slip of paper from each bag without looking.

The random variable X is the product of the numbers on the slips of paper.

What is P(12≤X≤15)?



Enter your answer, in simplest fraction form, in the box.

Answer 1

The possibilities are:
2x3, 2x4, 2x5, 2x6
3x3, 3x4, 3x5, 3x6
4x3, 4x4, 4x5, 4x6
5x3, 5x4, 5x5, 5x6

And the only ones where the product is from 12 to 15 are:
2x6
3x4, 3x5
4x3
5x3
There are 5 valid possibilities out of the 16 total, so P = 5/16.