Emma and Eddie both want to choose their family's dinner entrée. Emma prefers burgers, and Eddie would like to order pizza. To determine who gets to pick, their dad suggests rolling a pair of fair dice. If the sum of the dice is 4 or 10, then Emma will pick dinner. If the sum is 2, 3, 11, or 12, then Eddie will pick dinner. They will roll the dice again if any other number is rolled. Is this a fair way to decide? Explain. (Hint: There are 21 total possibilities when rolling a pair of dice.)
Emma and Eddie both want to choose their family's dinner entrée. Emma prefers burgers, and Eddie would like to order pizza. To determine who gets to pick, their dad suggests rolling a pair of fair dice. If the sum of the dice is 4 or 10, then Emma will pick dinner. If the sum is 2, 3, 11, or 12, then Eddie will pick dinner. They will roll the dice again if any other number is rolled. Is this a fair way to decide? Explain. (Hint: There are 21 total possibilities when rolling a pair of dice.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 34T
Related questions
Question
Emma and Eddie both want to choose their family's dinner entrée. Emma prefers burgers, and Eddie would like to order pizza. To determine who gets to pick, their dad suggests rolling a pair of fair dice. If the sum of the dice is 4 or 10, then Emma will pick dinner. If the sum is 2, 3, 11, or 12, then Eddie will pick dinner. They will roll the dice again if any other number is rolled. Is this a fair way to decide? Explain.
(Hint: There are 21 total possibilities when rolling a pair of dice.)
(Hint: There are 21 total possibilities when rolling a pair of dice.)
| a |
No, it is not fair because there is a higher probability of rolling 2, 3, 11, or 12, so Eddie will most likely choose dinner.
|
| b |
Yes, it is fair because both Emma and Eddie have an equal probability of choosing dinner.
|
| c |
No, it is not fair because there is a higher probability of rolling 4 or 10, so Emma will most likely choose dinner.
|
| d |
No, it is not fair because there is a greater probability that they will roll a number other than 4, 10, 2, 3, 11, or 12.
|
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