Find the sample space for a roll of a pair of dice (2 six-sided number cubes). 1. a roll of one die has six possible outcomes. use the product counting principle to determine the total number of outcomes for a toss of two dice. explain your response. 2. draw a table to show the sample space of a toss of two dice. denote the event of a sum of 7 or 11 on the table. 3. what is the probability of a sum of 7 or 11?

For one die there are 6 different possible outcomes: 1, 2, 3, 4, 5 or 6.

1. For two dice there are 6·6=36 possible outcomes (see table for details):

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In this table in pair (a,b) a is number on the first die and b is number on the second die.

2. To roll 7 in total you should consider the largest diagonal, where outcomes are (6,1), (5,2), (4,3), (3,4), (2,5), (1,6).

To roll 11 in total you should consider the smallest diagonal, where outcomes are (6,5), (5,6).

3. The probability to roll 7 in total is 6/36=1/6. The probability to roll 11 in total is 2/36=1/18. The probability of a sum of 7 or 11 is 1/6+1/18=4/18=2/9.

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step-by-step explanation:

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer