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Let’s assume that there are two dice, and we will roll one of them, but we...

Let’s assume that there are two dice, and we will roll one of them, but we don’t know which one. The probability of rolling either dice is 1/2. One of them is fair in the sense that all 6 outcomes are equally likely. The other die gives probability 1/3 to numbers 1 through 3 and zero probability to numbers 4-6.

a-)The first roll was a 4. What is the probability that it was the fair die?

b-)The first roll was a 3. What is the probability that it was the fair die?

Hint(Bayes Rule)

Math   Statistics-And-Probability   
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