SOLUTION: Two different numbers are randomly selected from the set ${ - 2, -1, 0, 3, 4, 5}$ and multiplied together. What is the probability that the product is $0$?

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Question 1126611: Two different numbers are randomly selected from the set ${ - 2, -1, 0, 3, 4, 5}$ and multiplied together. What is the probability that the product is $0$?
Answer by ikleyn(52803) About Me  (Show Source):
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With equal probability, you can select any of 6*5 = 30 pairs different numbers from the given 6 numbers.


It is your space of events.


Of them, there are exactly 5 + 5 = 10  pairs of different numbers that contain 0 (which leads to the zero product).


So, the probability under the question is  10%2F30 = 1%2F3.