Question

ASK YOUR TEACHER

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 sum of the numbers showing face up is 8

E =

6

  

Compute the probability of E.

Answer 1

Given two dice are rolled together, then the number of events in sample space is .

i.e., . Let be the event that the sum of the numbers showing face up is 8. i.e.,

.

So the events of E are . So then

The probability of E is