Concept explainers
To find the probability that the sum of the dice is 5, if the red die came up 3.
Answer to Problem 50E
If the red die came up 3, the probability that the sum of the dice is 5 is
Explanation of Solution
Given:
One red die and one blue die are rolled. The outcome of each die is a number between 1 and 6. The ordered pairs of the outcomes are of the form (Red die, Blue die).
Calculation:
Let’s assume first value in each ordered pair denotes the Red die and second values denotes the Blue die.
If the red die comes up in 3, then blue die may comeup with 1, 2, 3, 4, 5, or 6.
Hence the sample space is,
Let
Hence the probability that the sum of the dice is 5, if the red die came up 3 is,
Now the original sample space of the given experiment before the red die was observed is,
Let
So, the number of outcomes in the event
Hence, the probability that the sum of the dice is 5 is,
Hence, if the red die came up 3, the probability that the sum of the dice is 5 is
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Chapter 5 Solutions
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
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