Please answer number 12. Make sure to show work! Thx! 8. Basic Computation: Probability of Equally Likely Events What is theprobability that a day of the week selected at random will be a Wednesday?9. | Interpretation An investment opportunity boasts that the chance of doublingyour money in 3 years is 95%. However, when you research the details of theinvestment, you estimate that there is a 3% chance that you could lose theentire investment. Based on this information, are you certain to make moneyon 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 beviewed 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 girlis 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, fromoldest to youngest.(b) What is the probability that all three children are male? Notice that thecomplement of the event "all three children are male" is "at least one ofthe children is female." Use this information to compute the probabilitythat 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 thatthe complement of the event "three heads" is "at least one tail." Usethis information to compute the probability that there will be at leastone tail.

The experiment is tossing a fair coin three times. The possible outcomes of tossing a coin is heads…

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.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.CR: Chapter Review

Problem 8CC

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