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Probability Says ... Probability is a measure of how likely an event is to occur. Match one of the probabilities that follow with each statement of likelihood given. (The probability is usually a more exact measure of likelihood than is the verbal statement.) \(\begin{array}{lllllll}0 & 0.05 & 0.45 & 0.50 & 0.55 & 0.95 \quad 1\end{array}\) a. This event is impossible. It can never occur. b. This event is just as likely to occur as it is to not occur. c. This event is very likely, but it will not occur once in a while in a long sequence of trials. d. This event will occur slightly less often than not.

In a table of random digits such as Table B, each digit is equally likely to be any of \(0,1,2,3,4,5,6,7,8\), or 9 . What is the probability that a digit in the table is 7 or greater? a. \(7 / 10\) b. \(4 / 10\) c. \(3 / 10\)

A Taste Test. A tea-drinking Canadian friend of yours claims to have a very refined palate. She tells you that she can tell if, in preparing a cup of tea, milk is first added to the cup and then hot tea poured into the cup or the hot tea is first poured into the cup and then the milk is added. \(1 .\) To test her claims, you prepare six cups of tea. Three have the milk added first and the other three the tea first. In a blind taste test, your friend tastes all six cups and is asked to identify the three that had the milk added first. a. How many different ways are there to select three of the six cups? (Hint: See Example 12.8, page 281.) b. If your friend is just guessing, what is the probability that she correctly identifies the three cups with the milk added first?