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I) A fair coin is tossed 4 times. Let A; be the event: ith toss results in Heads. Let B be the event: B = (A₁n A₂ n A3 A). Find the probability P(B). II) A jar contains four coins: a nickel (5c), a dime (10c), a quarter (25c) and a loonie ($1). Three coins are randomly selected from the jar. Find the probability that the total amount drawn is equal to 60 cents or more. III) A sample space S consists of five simple events with these probabilities: P(E₁) = P(E₂) = 0.15, P(E3) = 0.4, P(E4) = 2P(E5). Find the probabilities for simple events E4 and E5.

I) A fair coin is tossed 4 times. Let A; be the event: ith toss results in Heads. Let B be the event: B = (A₁n A₂ n A3 A). Find the probability P(B). II) A jar contains four coins: a nickel (5c), a dime (10c), a quarter (25c) and a loonie ($1). Three coins are randomly selected from the jar. Find the probability that the total amount drawn is equal to 60 cents or more. III) A sample space S consists of five simple events with these probabilities: P(E₁) = P(E₂) = 0.15, P(E3) = 0.4, P(E4) = 2P(E5). Find the probabilities for simple events E4 and E5.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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I) A fair coin is tossed 4 times. Let A; be the event: ith toss results in Heads. Let B be the event: B = (A₁ A₂ A3 A). Find the probability P(B). II) A jar contains four coins: a nickel (5c), a dime (10c), a quarter (25c) and a loonie ($1). Three coins are randomly selected from the jar. Find the probability that the total amount drawn is equal to 60 cents or more. III) A sample space S consists of five simple events with these probabilities: P(E₁) = P(E₂) = 0.15, P(E3) = 0.4, P(E4) = 2P(E5). Find the probabilities for simple events E4 and E5.
Transcribed Image Text:I) A fair coin is tossed 4 times. Let A; be the event: ith toss results in Heads. Let B be the event: B = (A₁ A₂ A3 A). Find the probability P(B). II) A jar contains four coins: a nickel (5c), a dime (10c), a quarter (25c) and a loonie ($1). Three coins are randomly selected from the jar. Find the probability that the total amount drawn is equal to 60 cents or more. III) A sample space S consists of five simple events with these probabilities: P(E₁) = P(E₂) = 0.15, P(E3) = 0.4, P(E4) = 2P(E5). Find the probabilities for simple events E4 and E5.
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