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Coursepack, p.535 MAT 133: Ch. 5-6 Review WS p.2 e. Use the Multiplication Rule and showing work, find the probability for each possible outcome in the sample space and construct a distribution of the results at right. Give 4 decimal places (Hint: Only 4 calculations are required!) Outcome Probability E f. Find the probability that the first two are successful and the third player fails. g. Find the probability that two succeed and one fails. (Hint: f and g are NOT the same question). h. Find the probability that at least one of the players succeeds.Math 133: Ch 5-6 Review Worksheet Name: sepack, p.534 Section #: Ch 5-6 Review Worksheet 1. Chapter 5 Work: Suppose the average free throw percentage for a NBA player is 77% (i.e., the chances they will shoot a successful free throw). You are going to randomly select three random, independent NBA players and have each of them shoot a free throw. (Source: n https://www.espn.comba/stats/player/ /stat/free-throws) a. For each player, how many random outcomes are possible? What is the associated probability for each? itcomes b. How large is the sample space? (Use the Multiplication Rule of Counting) 2. 3 = 6 outcomes c. Using a tree diagram, construct the sample space of all possible outcomes (Use S and F) miss make miss make 3 miss they the samper make d. Explain why the outcomes listed in the sample space are not all equally likely