Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

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

Answer: 5/16

Explanation:

First, let's calculate the total number of possible outcomes:

4 options in the first bag and 4 options in the second bag = 16

Here is the list:

23 24 25 26

33 34 35 36

43 44 45 46

53 54 55 56

Next, calculate the total number of outcomes which result in the product of 12, 13, 14, or 15.

Here are their products:

6 8 10 12

9 12 15 18

12 16 20 24

15 20 25 30

There are 5 outcomes that include a product of 12, 13, 14, & 15.

Probability is: (# of satisfactory outcomes)/(total outcomes) = 5/16