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I have a bag with 3 fair dice. One is 4-sided, one is 6-sided, and one is 12-sided. I reach into the bag, pick one at random and roll it. The outcome of the roll is 4. What is the probability that I pulled out the 6-sided die?

 Jan 24, 2020
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The probability of pulling one of the dice at random = 1 / 3

If its the 6-sided die, then the probability of of rolling a 4 = 1/6

 

Therefore, the probability that rolling a 4  comes from a 6-sided die = 1 / 3  x  1 / 6 = 1 / 18 =~5.55 %

 Jan 24, 2020

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