Question

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 =___________.

Answer 1

Answer:

E = {11, 22, 33, 44, 55, 66}

Step-by-step explanation:

There 36 total possible outcomes when rolling two dice together. Since there are six different numbers, in only six of those outcomes the numbers showing face up are the same. Therefore, the probability of the number showing face up being the same is 1/6. The set that represents this event is.

E = {11, 22, 33, 44, 55, 66}