# 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 die explain your response

2 months ago

## Solution 1

Guest #1991
2 months ago
There are 36 possible outcomes.

There are 6 outcome for the first die and 6 outcomes for the second die.  The fundamental counting principle states that to find the total number of outcomes of these independent events, we multiply:

6(6) = 36

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Let the event to win the first game is F and to win the second game is S.

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The prisoners could do a pattern that could signal who has already been in the room. So for example, one light off, both lights off, one light on, both lights off. But with left and right lights to make the sequence last as long as possible. Then after that sequence to have the last one be the signal that everyone has been in there. I dunno this is tricky lol
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The base of a rectangular prism has an area of 173.6 square centimeters and a height of 9 centimeters. What is the volume, in cubic centimeters, of the right rectangular prism?
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The function rule for the following graph is y = 2x + 2. What is the value of y in the ordered pair (2, y)? 24 4 10 6
Solution 1
I think the answer is 6
Solution 2

Step-by-step explanation:

I just did this question as well and 6 was the correct answer. Hope this helped :)

Question
The function rule for the following graph is y = 2x + 2. What is the value of y in the ordered pair (2, y)? 24 4 10 6
Solution 1
Out of the ordered pair the 2 would be the x so you would need to plug in 2 for x in the equation so it would look like this

y=2(2)+2
finally solve for y
4+2
6=y

Solution 2

6

Hope I helped :3

Question
What is the probability of rolling a 1 with a number cube that has the numbers 1, 2, 3, 4, 5, and 6 and tossing heads with a coin? A. 1/12 B. 1/8 C. 1/2 D. 2/3
Solution 1
Probablity is (desired outcomes)/(total) possible outcomes so the dice 1 is desired and the total poassible outcomes is 6 since 6 numbers so probailty of rolling a 1 is 1/6 then flippin heads desired outcome=1 total possible=2 probabilty is 1/2 so we have 1/6 and 1/2 now we mulitply them 1/6 times 1/2=1/12 the answer is A
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A. 1/12

Probability of tossing dice= 1/6
Probability of tossing coin= 1/2
Find least common denominator and mutiply : 1/2*1/6= 1/12

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