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Find: P(E1 and E2)

Find: P(E1 and E2)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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We use The Law of And, also known as The Multiplication Rule, when two things occur simultaneously. When you want two things to happen at the same time, you multiple the probabilities of the individual events to find out what the probabiilty of both events happening simultaneously is. Written symbolically, The Law of And looks like this: P(E1 and E2) = P(E1) * P(E2) Let's say that the game show has adopted a more complicated probability structure. There is a(n) 45% chance the big prize will be a toaster, a(n) 11% chance the big prize will be the washer dryer, and a(n) 9% chance the big prize will be the vacation. If the game show puts the big prize behind Door #1 25% of the time, behind Door #2 25% of the time, and behind Door #3 50% of the time, then what are the chances of winning the toaster oven if a contestant picks Door #1? Given: • P(E1) = 45% • P(E2) = 25% • P(E1 and E2) = P(E1) P(E2) Find: P(E1 and E2) Report P(E1 and E2) as a percent rounded to two decimal places.
Transcribed Image Text:We use The Law of And, also known as The Multiplication Rule, when two things occur simultaneously. When you want two things to happen at the same time, you multiple the probabilities of the individual events to find out what the probabiilty of both events happening simultaneously is. Written symbolically, The Law of And looks like this: P(E1 and E2) = P(E1) * P(E2) Let's say that the game show has adopted a more complicated probability structure. There is a(n) 45% chance the big prize will be a toaster, a(n) 11% chance the big prize will be the washer dryer, and a(n) 9% chance the big prize will be the vacation. If the game show puts the big prize behind Door #1 25% of the time, behind Door #2 25% of the time, and behind Door #3 50% of the time, then what are the chances of winning the toaster oven if a contestant picks Door #1? Given: • P(E1) = 45% • P(E2) = 25% • P(E1 and E2) = P(E1) P(E2) Find: P(E1 and E2) Report P(E1 and E2) as a percent rounded to two decimal places.
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