What is the probability that Ethan will ride Mr. Freeze and Evil Kneel

1. Six Flags In 2011, Six Flags St. Louis had ten roller coasters: The Screaming’ Eagle, The Boss, River King Mine Train, Batman the Ride, Mr. Freeze, Ninja, Tony Hawk’s Big Spin, Evil Kneel, Excalibur, and Sky Screamer. Of these, The Boss, The Screaming’ Eagle, and Evil Kneel are wooden coasters. Ethan wants to ride two more roller coasters before leaving the park (not the same one twice) and decides to select them by drawing names from a hat.(a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n= 2.(b) What is the probability that Ethan will ride Mr. Freeze and Evil Kneel?(c) What is the probability that Ethan will ride the Screaming’ Eagle?(d) What is the probability that Ethan will ride two wooden roller coasters?(e) What is the probability that Ethan will not ride any wooden roller coasters?2. Barry Bonds On October 5, 2001, Barry Bonds broke Mark McGwire’s home-run record for a single season by hitting his 71st and 72nd home runs. Bonds went on to hit one more home run before the season ended, for a total of 73. Of the 73 home runs, 24 went to right field, 26 went to right center field, 11 went to center field, 10 went to left center field, and 2 went to left field. Source:Baseball-almanac.com(a) What is the probability that a randomly selected home run was hit to right field?(b) What is the probability that a randomly selected home run was hit to left field?(c) Was it unusual for Barry Bonds to hit a home run to left field? Explain.3. Rolling a Die(a) Roll a single die 50 times, recording the result of each roll of the die. Use the results to approximate the probability of rolling a three.(b) Roll a single die 100 times, recording the result of each roll of the die. Use the results to approximate the probability of rolling a three.(c) Compare the results of (a) and (b) to the classical probability of rolling a three.4. Simulation Use a graphing calculator or statistical software to simulate rolling a six-sided die 100 times, using an integer distribution with numbers one through six.(a) Use the results of the simulation to compute the probability of rolling a one.(b) Repeat the simulation. Compute the probability of rolling a one.(c) Simulate rolling a six-sided die 500 times. Compute the probability of rolling a one.(d) Which simulation resulted in the closest estimate to the probability that would be obtained using the classical method?

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