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Neil and Jean each choose a number at random from the set {1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12}; their numbers are allowed to be the same. What is the probability that the product of those two numbers is even?

 Jan 14, 2021
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11 C 2 = 55 - Total products of the set.

 

2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 10, 11, 12, 12, 12, 14, 15, 18, 18, 20, 20, 21, 22, 24, 24, 27, 28, 30, 30, 33, 35, 36, 36, 40, 42, 44, 45, 48, 50, 54, 55, 60, 60, 63, 66, 70, 72, 77, 84, 90, 99, 108, 110, 120, 132)>Total =55 such products.

 

(2, 4, 6, 6, 8, 10, 10, 12, 12, 12, 14, 18, 18, 20, 20, 22, 24, 24, 28, 30, 30, 36, 36, 40, 42, 44, 48, 50, 54, 60, 60, 66, 70, 72, 84, 90, 108, 110, 120, 132) >>Total = 40 EVEN products out of 55.

 

Probability = 40 / 55 =8 / 11

 Jan 14, 2021

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