What is the probability of Sam deciding not to help and Frodo not destroying the ring? 0.12 Given that Frodo did not destroy the ring, what is the probability Sam helped him? 0.15

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter0: Preparing For Algebra
Section: Chapter Questions
Problem 69POT
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Sam and Frodo are hobbits on an adventure to save middle earth. To save middle earth, Sam and Frodo venture to a special
volcano to destroy an evil power-ridden ring. It's Frodo's job to destroy the ring, and it's Sam's job to protect and help Frodo.
According to some calculations a wise wizard estimated, the probability that Frodo destroys the ring is 73%, and the probability
that Sam decides to help Frodo on this journey is 82%. If Sam helps Frodo, the probability that Frodo destroys the ring is 67%.
Provide the answers to the following questions below and round to 2 decimal places.
What is the probability of Sam deciding not to help and Frodo not destroying the ring? 0.12
Given that Frodo did not destroy the ring, what is the probability Sam helped him? 0.15
Transcribed Image Text:1 Sam and Frodo are hobbits on an adventure to save middle earth. To save middle earth, Sam and Frodo venture to a special volcano to destroy an evil power-ridden ring. It's Frodo's job to destroy the ring, and it's Sam's job to protect and help Frodo. According to some calculations a wise wizard estimated, the probability that Frodo destroys the ring is 73%, and the probability that Sam decides to help Frodo on this journey is 82%. If Sam helps Frodo, the probability that Frodo destroys the ring is 67%. Provide the answers to the following questions below and round to 2 decimal places. What is the probability of Sam deciding not to help and Frodo not destroying the ring? 0.12 Given that Frodo did not destroy the ring, what is the probability Sam helped him? 0.15
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