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.
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.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 2P: Family Planning A intend to have two children. What is tie probability that they will have child of...
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Please answer number 8. Show work!!!
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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