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3) You're tying to plan your school schedule, but there are a bunch of things up in the air. You need to pick one more elective, but you've decided to base your choice based on whether or not your friend tells you if she's taking HISTORY or not. You are trying to decide between MATH, THEATER, or PHILOSOPHY. --There's a 25% chance your friend decides to take HISTORY. If she does, then there's a 40% chance you'll take MATH, 20 % chance you'll take THEATER, and a 40% chance you'll take PHILOSOPHY. --There's a 45% chance your friend decides not take HISTORY. If she tells you she isn't, then there's a 70% chance take THEATER, a 25% chance you take MATH, and a 5% chance you take philosophy. --There's a 30% chance your friend won't let you know in time. If she doesn't tell you, then there's a 50% chance you you'll take MATH and an even split for the other two. Using all of this information, determine the probability that you decide to take MATH. What is the probability that you decide to take THEATER? How about PHILOSOPHY?

3) You're tying to plan your school schedule, but there are a bunch of things up in the air. You need to pick one more elective, but you've decided to base your choice based on whether or not your friend tells you if she's taking HISTORY or not. You are trying to decide between MATH, THEATER, or PHILOSOPHY. --There's a 25% chance your friend decides to take HISTORY. If she does, then there's a 40% chance you'll take MATH, 20 % chance you'll take THEATER, and a 40% chance you'll take PHILOSOPHY. --There's a 45% chance your friend decides not take HISTORY. If she tells you she isn't, then there's a 70% chance take THEATER, a 25% chance you take MATH, and a 5% chance you take philosophy. --There's a 30% chance your friend won't let you know in time. If she doesn't tell you, then there's a 50% chance you you'll take MATH and an even split for the other two. Using all of this information, determine the probability that you decide to take MATH. What is the probability that you decide to take THEATER? How about PHILOSOPHY?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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3) You're tying to plan your school schedule, but there are a bunch of things up in the air. You need to pick one more elective, but you've decided to base your choice based on whether or not your friend tells you if she's taking HISTORY or not. You are trying to decide between MATH, THEATER, or PHILOSOPHY. --There's a 25% chance your friend decides to take HISTORY. If she does, then there's a 40% chance you'll take MATH, 20 % chance you'll take THEATER, and a 40% chance you'll take PHILOSOPHY. --There's a 45% chance your friend decides not take HISTORY. If she tells you she isn't, then there's a 70% chance take THEATER, a 25% chance you take MATH, and a 5% chance you take philosophy. --There's a 30% chance your friend won't let you know in time. If she doesn't tell you, then there's a 50% chance you you'll take MATH and an even split for the other two. Using all of this information, determine the probability that you decide to take MATH. What is the probability that you decide to take THEATER? How about PHILOSOPHY?
Transcribed Image Text:3) You're tying to plan your school schedule, but there are a bunch of things up in the air. You need to pick one more elective, but you've decided to base your choice based on whether or not your friend tells you if she's taking HISTORY or not. You are trying to decide between MATH, THEATER, or PHILOSOPHY. --There's a 25% chance your friend decides to take HISTORY. If she does, then there's a 40% chance you'll take MATH, 20 % chance you'll take THEATER, and a 40% chance you'll take PHILOSOPHY. --There's a 45% chance your friend decides not take HISTORY. If she tells you she isn't, then there's a 70% chance take THEATER, a 25% chance you take MATH, and a 5% chance you take philosophy. --There's a 30% chance your friend won't let you know in time. If she doesn't tell you, then there's a 50% chance you you'll take MATH and an even split for the other two. Using all of this information, determine the probability that you decide to take MATH. What is the probability that you decide to take THEATER? How about PHILOSOPHY?
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