7. A fair die is rolled three times. Find the probability that one or more fours appear given that the sum of the three numbers that appear is 7. Hint: Order does not make a difference here. Make a table listing the 3-tuples of possible outcomes of the three rolls where the sum equals 7 disregarding order. Then write down the number of permutations for each of these outcomes. Be careful about counting permutation. For example, in the outcome (1,5, 1), if we switch the "1" in the first position with the "l" in the third position we do not get a new permutation.

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