In 2011, Six Flags St. Louis had ten roller coasters:
The Screamin’ Eagle, The Boss, River King Mine Train, Batman the Ride, Mr. Freeze, Ninja, Tony Hawk’s Big Spin, Evel Knievel, Xcalibur, and Sky Screamer. Of these, The Boss, The Screamin’ Eagle, and Evel Knievel 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 Evel Knievel?
(c) What is the probability that Ethan will ride the Screamin’ 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?