In computing classical probabilities, all outcomes must be equally likely. Explain what this means.

[DATA] A Random Process: Green Lights On your drives to school each day you feel like there is a light that is always red when you reach it. You decide to record data to determine the likelihood of arriving at the light while it is red. Open the data set 5_1_38 at www.pearsonhighered.com/sullivanstats, which contains the day number and whether the light was red (1), or not (0), for 120 consecutive days in which you drove to school.

d. Were you stuck by a red light on the 50th day?

In Problems 39–42, use the given table, which lists six possible assignments of probabilities for tossing a coin twice, to answer the following questions.

Which of the assignments of probabilities should be used if the coin is known to be fair?

In Problems 39–42, use the given table, which lists six possible assignments of probabilities for tossing a coin twice, to answer the following questions.

Which of the assignments of probabilities should be used if tails is twice as likely to occur as heads?

Six FlagsIn 2011, Six Flags St. Louis had 10 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.

b. What is the probability that Ethan will ride Mr. Freeze and Evel Knievel?

Define each of the following.

c. Event

Define each of the following.

d. Sample space

Define each of the following.

e. Equally likely outcomes

Define each of the following.

f. Impossible event