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 is recorded. The possible outcomes of the sample space S are listed as follows, wherein 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.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 blue die and a gray die are rolled together, and the numbers of dots that occur face up on each is recorded. The possible outcomes of the sample space S are listed as follows, wherein 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.
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