Below is a list of all possible outcomes in the experiment of rolling two die. 1, 1 1, 2 | 1,3 2, 1 2, 2 2, 3 3,3 4, 3 5, 3 6, 1 6, 2 6,3 1, 4 2, 4 3, 4 4, 4 5,4 6, 4 1, 5 1, 6 2, 5 2, 6 3, 5 3, 6 4, 5 4, 6 5, 5 5, 6 6, 5 6, 6 3, 1 4, 1 5, 1 3, 2 4, 2 5, 2 Determine the following probabilities. Write your answers as reduced fractions. P(sum is odd) = P(sum is 5) = P(sum is 7) = P(sum is 7 and one of the die is a 1) = P(sum is 7 or at least one of the die is 1) =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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Below is a list of all possible outcomes in the experiment of rolling two die.

 

Determine the following probabilities. Write your answers as reduced fractions.

    P(sum is odd) =   ?
    P(sum is 5) =   ?
    P(sum is 7) =   ?
        P(sum is 7

and

     one of the die is a 1) =   ?   
        P(sum is 7

or

    at least one of the die is 1) =   ? 

 

Below is a list of all possible outcomes in the experiment of rolling two die.
1, 1 1, 2 1, 3 1, 4 1,5
2, 1 2, 2
3, 3
4, 3
1, 6
2, 6
3, 6
4, 6
5, 6
2, 3
2, 4
3, 4
4, 4
5, 4
6, 4
2, 5
3, 5
4, 5
5, 5
6, 5
3, 1 3, 2
4, 2
4, 1
5,1 5,2
5, 3
6, 1 6, 2
6, 3
6, 6
Determine the following probabilities. Write your answers as reduced fractions.
P(sum is odd) =
P(sum is 5) =
P(sum is 7) =
P(sum is 7 and one of the die is a 1) =
P(sum is 7 or at least one of the die is 1) =
2/3
Transcribed Image Text:Below is a list of all possible outcomes in the experiment of rolling two die. 1, 1 1, 2 1, 3 1, 4 1,5 2, 1 2, 2 3, 3 4, 3 1, 6 2, 6 3, 6 4, 6 5, 6 2, 3 2, 4 3, 4 4, 4 5, 4 6, 4 2, 5 3, 5 4, 5 5, 5 6, 5 3, 1 3, 2 4, 2 4, 1 5,1 5,2 5, 3 6, 1 6, 2 6, 3 6, 6 Determine the following probabilities. Write your answers as reduced fractions. P(sum is odd) = P(sum is 5) = P(sum is 7) = P(sum is 7 and one of the die is a 1) = P(sum is 7 or at least one of the die is 1) = 2/3
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