A release-checked easy problem for training Law of Total Probability, Dice, Events, Conditional Probability.
Question
A pair of standard fair 6-sided dice are rolled and the upfaces are observed. If the two dice are rolled again, find the probability that the values appearing on the dice will match those of the first roll. Note that these values can occur in any order.
Practice focus
This Probability problem is tagged Law of Total Probability, Dice, Events, Conditional Probability. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.