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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

Respuesta :

The probability is 5/16.

The sample space for this event would be:

2&3; 2&4; 2&5; 2&6;
3&3; 3&4; 3&5; 3&6;
4&3; 4&4; 4&5; 4&6;
5&3; 5&4; 5&5; 5&6

There are 16 possible outcomes.  Out of these, only 5 would have a product between 12 and 15:

2&6; 3&4; 3&5; 4&3; 5&3

This makes the probability 5/16.

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