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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.

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 othe class=

Respuesta :

Answer: 5/16

Step-by-step 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