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When an event is certain to occur, what is its probability?

Show Programs Three bands and two comics are performing for a student talent show. How many different programs (in terms of order) can be arranged? How many if the comics must perform between bands?

Working Women and Computer Use It is reported that \(72 \%\) of working women use computers at work. Choose 5 working women at random. Find $$ \begin{array}{l}{\text { a. The probability that at least } 1 \text { doesn't use a computer }} \\ {\text { at work }} \\ {\text { b. The probability that all } 5 \text { use a computer in their }} \\ {\text { jobs }}\end{array} $$

Snack Foods In a meeting room in a dormitory there are 8 bags of potato chips, 5 bags of popcorn, 2 bags of pretzels, and 1 bag of cheese puffs. If a student selects 1 bag at random, find the probability that it is a bag of potato chips or a bag of pretzels.

A probability experiment is conducted. Which of these cannot be considered a probability outcome? $$ \begin{array}{llll}{\text { a. } \frac{2}{3}} & {\text { d. } 1.65} & {g .1} \\\ {\text { b. } 0.63} & {e .-0.44} & {h .125 \%} \\ {\text { c. }-\frac{3}{5}} & {\text { f. } 0} & {\text { i. } 24 \%}\end{array} $$

Selecting a Book At a used-book sale, 100 books are adult books and 160 are children’s books. Of the adult books, 70 are nonfiction while 60 of the children’s books are nonfiction. If a book is selected at random, find the probability that it is a. Fiction b. Not a children’s nonfiction book c. An adult book or a children’s nonfiction book

Selecting Books Find the probability of selecting 3 science books and 4 math books from 8 science books and 9 math books. The books are selected at random.

Rolling the Dice If three dice are rolled, find the probability of getting a sum of 6.

Drawing Cards If two cards are selected from a standard deck of 52 cards and are not replaced after each draw, find these probabilities. $$ \begin{array}{l}{\text { a. Both are } 9 \mathrm{s} \text { . }} \\ {\text { b. Both cards are the same suit. }} \\ {\text { c. Both cards are spades. }}\end{array} $$

Rolling Two Dice If two dice are rolled one time, find the probability of getting these results: a. A sum of 5 b. A sum of 9 or 10 c. Doubles