For Parts A, B, and C, use the experiment below. Show all work. Two fair six-sided dice are rolled. Part A: How many outcomes are in the sample space of the experiment? Part B: What is the probability the sum of the two dice will be greater than or equal to 10? Part C: Laura and Bethany want to decide who fills the car with gasoline for their upcoming trip. Laura will fill the car if the sum of the dice is greater than or equal to 10, and Bethany will fill the car if the sum of the dice is less than 5 If the sum of the dice is any other value, the result is discarded. Does this method provide a fair way to decide who fills the car with gasoline? Provide a supporting explanation.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 44E
Question
For Parts A, B, and C, use the experiment below. Show all
work.
Two fair six-sided dice are rolled.
Part A: How many outcomes are in the sample space of
the experiment?
Part B: What is the probability the sum of the two dice will
be greater than or equal to 10?
Part C: Laura and Bethany want to decide who fills the car
with gasoline for their upcoming trip. Laura will fill the car
if the sum of the dice is greater than or equal to 10, and
Bethany will fill the car if the sum of the dice is less than 5
If the sum of the dice is any other value, the result is
discarded. Does this method provide a fair way to decide
who fills the car with gasoline? Provide a supporting
explanation.
Transcribed Image Text:For Parts A, B, and C, use the experiment below. Show all work. Two fair six-sided dice are rolled. Part A: How many outcomes are in the sample space of the experiment? Part B: What is the probability the sum of the two dice will be greater than or equal to 10? Part C: Laura and Bethany want to decide who fills the car with gasoline for their upcoming trip. Laura will fill the car if the sum of the dice is greater than or equal to 10, and Bethany will fill the car if the sum of the dice is less than 5 If the sum of the dice is any other value, the result is discarded. Does this method provide a fair way to decide who fills the car with gasoline? Provide a supporting explanation.
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