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Critical Thinking Consider the experiment of tossing a fair coin three times. For each coin, the possible outcomes are heads or tails. (a) List the equally likely events of the sample space for the three tosses. (b) What is the probability that all three coins come up heads? Notice that the complement of the event "three heads" is "at least one tail." Use this information to compute the probability that there will be at least one tail.

Critical Thinking Consider the experiment of tossing a fair coin three times. For each coin, the possible outcomes are heads or tails. (a) List the equally likely events of the sample space for the three tosses. (b) What is the probability that all three coins come up heads? Notice that the complement of the event "three heads" is "at least one tail." Use this information to compute the probability that there will be at least one tail.

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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Please answer number 12. Make sure to show work! Thx!
8. Basic Computation: Probability of Equally Likely Events What is the probability that a day of the week selected at random will be a Wednesday? 9. | Interpretation An investment opportunity boasts that the chance of doubling your money in 3 years is 95%. However, when you research the details of the investment, you estimate that there is a 3% chance that you could lose the entire investment. Based on this information, are you certain to make money on this investment? Are there risks in this investment opportunity? 10. Interpretation A sample space consists of 4 simple events: A, B, C, D. Which events comprise the complement of A? Can the sample space be viewed as having two events, A and Ac? Explain. 11. Critical Thinking Consider a family with three children. Assume the prob- ability that one child is a boy is 0.5 and the probability that one child is a girl is also 0.5 and that the events "boy" and "girl" are independent. (a) List the equally likely events for the gender of the three children, from oldest to youngest. (b) What is the probability that all three children are male? Notice that the complement of the event "all three children are male" is "at least one of the children is female." Use this information to compute the probability that at least one child is female. 12. | Critical Thinking Consider the experiment of tossing a fair coin three times. For each coin, the possible outcomes are heads or tails. (a) List the equally likely events of the sample space for the three tosses. (b) What is the probability that all three coins come up heads? Notice that the complement of the event "three heads" is "at least one tail." Use this information to compute the probability that there will be at least one tail.
Transcribed Image Text:8. Basic Computation: Probability of Equally Likely Events What is the probability that a day of the week selected at random will be a Wednesday? 9. | Interpretation An investment opportunity boasts that the chance of doubling your money in 3 years is 95%. However, when you research the details of the investment, you estimate that there is a 3% chance that you could lose the entire investment. Based on this information, are you certain to make money on this investment? Are there risks in this investment opportunity? 10. Interpretation A sample space consists of 4 simple events: A, B, C, D. Which events comprise the complement of A? Can the sample space be viewed as having two events, A and Ac? Explain. 11. Critical Thinking Consider a family with three children. Assume the prob- ability that one child is a boy is 0.5 and the probability that one child is a girl is also 0.5 and that the events "boy" and "girl" are independent. (a) List the equally likely events for the gender of the three children, from oldest to youngest. (b) What is the probability that all three children are male? Notice that the complement of the event "all three children are male" is "at least one of the children is female." Use this information to compute the probability that at least one child is female. 12. | Critical Thinking Consider the experiment of tossing a fair coin three times. For each coin, the possible outcomes are heads or tails. (a) List the equally likely events of the sample space for the three tosses. (b) What is the probability that all three coins come up heads? Notice that the complement of the event "three heads" is "at least one tail." Use this information to compute the probability that there will be at least one tail.
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