Find the probability that the first roll is a 3 if the total of the two rolls is greater than or equal to 4 (based on Exercise 9).
Consider again the three-sided die that gives a score of 1 with probability 1/3, a score of 2 with probability 1/3, and a score of 3 with probability 1/3. Two such die are rolled. Use Bayes' theorem to find the following conditional probabilities. Check your result by direct counting.