When to stop? In Exercise 27 of the Review Exercisesfor Part III, we posed this question:You play a game that involves rolling a die. You can rollas many times as you want, and your score is the total forall the rolls. But . . . if you roll a 6, your score is 0 andyour turn is over. What might be a good strategy for agame like this?You attempted to devise a good strategy by simulating several plays to see what might happen. Let’s try calcu-lating a strategy. a) On what roll would you expect to get a 6 for the firsttime?b) So, roll one time less than that. Assuming all thoserolls were not 6’s, what’s your expected score?c) What’s the probability that you can roll that manytimes without getting a 6?
When to stop? In Exercise 27 of the Review Exercisesfor Part III, we posed this question:You play a game that involves rolling a die. You can rollas many times as you want, and your score is the total forall the rolls. But . . . if you roll a 6, your score is 0 andyour turn is over. What might be a good strategy for agame like this?You attempted to devise a good strategy by simulating several plays to see what might happen. Let’s try calcu-lating a strategy. a) On what roll would you expect to get a 6 for the firsttime?b) So, roll one time less than that. Assuming all thoserolls were not 6’s, what’s your expected score?c) What’s the probability that you can roll that manytimes without getting a 6?
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 1CA
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When to stop? In Exercise 27 of the Review Exercises
for Part III, we posed this question:
You play a game that involves rolling a die. You can roll
as many times as you want, and your score is the total for
all the rolls. But . . . if you roll a 6, your score is 0 and
your turn is over. What might be a good strategy for a
game like this?
You attempted to devise a good strategy by simulating
for Part III, we posed this question:
You play a game that involves rolling a die. You can roll
as many times as you want, and your score is the total for
all the rolls. But . . . if you roll a 6, your score is 0 and
your turn is over. What might be a good strategy for a
game like this?
You attempted to devise a good strategy by simulating
several plays to see what might happen. Let’s try calcu-
lating a strategy.
lating a strategy.
a) On what roll would you expect to get a 6 for the first
time?
b) So, roll one time less than that. Assuming all those
rolls were not 6’s, what’s your expected score?
c) What’s the probability that you can roll that many
times without getting a 6?
time?
b) So, roll one time less than that. Assuming all those
rolls were not 6’s, what’s your expected score?
c) What’s the probability that you can roll that many
times without getting a 6?
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