Question 8 Emmanuel E Knowledge Check Three beans are selected from a large jar containing equal amounts of white beans and red beans. An outcome is represented by a string of the sort RWW (meaning the first bean is red, the second is white, and the third is white). The 8 outcomes are listed below. Assume that each outcome has the same probability. Complete the following. Write your answers as fractions. (If necessary, consult a list of formulas.) (a) Check the outcomes for each of the three events below. Then, enter the probability of each event. Outcomes Probability WWW WWRWRW WRR RWW RWRRRW RRR Event A: At least one red bean on the last two choices Event B: No red beans on the first two choices Event A and B: At least one red bean on the last two choices and no red beans on the first two choices (b) Suppose there is at least one red bean on the last two choices. (That is, Event 4 occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event B. Then, enter the probability that Event B occurs given that Event 4 occurs. Outcomes given there is at least one red bean on the last two choices Probability WWR WRI WRR RWR RRW|RRR Activete Windo Go to Settinsto ac I Don't Know Submit O 2020 McGraw-Hill Education All Rights Reserved Terms of Use Privecy Accessibility Type here to search Gp the first two choices (b) Suppose there is at least one red bean on the last two choices. (That is, Event A occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event B. Then, enter the probability that Event B occurs given that Event A occurs. Outcomes given there is at least one red bean on the last two choices Probability WWR WRW WRR RWR RRW RRR Event B: No red beans on the first two choices (c) Give the following probabilities and select the correct option below. P(A and B) P(A) P(B\A) P(A and B) P(A) P(B|A) Activa Go to See I Don't Know Submit O 2020 McGraw-Hill Education All Rights Reserved. Terms of Use Privecy | Acc 9 Type here to search