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Consider the sample space given below. A die is a cube with six sides on which each side contains one to six dots. Suppose a

Consider the sample space given below. A die is a cube with six sides on which each side contains one to six dots. Suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray. S = {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66} Write the following event as a set. (Enter your answer in set-roster notation. Enter EMPTY or for the empty set.) The event that the numbers showing face up are the same. E = Compute the probability of E. (Enter an exact number as an integer, fraction, or decimal.)

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