SOLUTION: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face v
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Question 1109817: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event A: The sum is greater than 5.
Event B: The sum is an odd number.
You can put this solution on YOUR website! An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event A: The sum is greater than 5.
There are 36 sums.
Those <= 5 are
1/1 ;1/2; 1/3; 1/4
2/1 ; 2/2; 2/3
3/1 ;3/2
4/1
pairs with sum <= 5:: 10
pairs with sum > 5:: 36-10 = 26
Ans: P(sum > 5) = 26/36 = 12/13
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Event B: The sum is an odd number.
Ans: P(sum is odd) = 0.5
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Cheers,
Stan H.
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