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 ______

Answer:5/16Step-by-step explanation:If Vanessa pulls out a 2 from the first bag, then the possibilities based on the second bag are:X = 2*3 = 6X = 2*4 = 8X = 2*5 = 10X = 2*6 = 12Repeat this for the other values from the first bag.  If she pulls a 3, the possibilities are:X = 3*3 = 9X = 3*4 = 12X = 3*5 = 15X = 3*6 = 18If she pulls a 4:X = 4*3 = 12X = 4*4 = 16X = 4*5 = 20X = 4*6 = 24And finally, if she pulls a 5:X = 5*3 = 15X = 5*4 = 20X = 5*5 = 25X = 5*6 = 30Of the 16 total combinations, 5 are greater than or equal to 12 and less than or equal to 15.Therefore, P(12 ≤ X ≤ 15) = 5/16.