91Ó°ÊÓ

Eleven students are competing in an art contest. In how many different ways can the students finish first, second, and third?

Describe a real-life event that has a probability of 0 . Then describe a real- life event that has a probability of 1 .

Six friends go to a movie theater. In how many different ways can they sit together in a row of 6 empty seats?

DRAWING CONCLUSIONS The Redbirds trail the Bluebirds by one goal with 1 minute left in the hockey game. The Redbirds' coach must decide whether to remove the goalie and add a frontline player. The probabilities of each team scoring are shown in the table. \begin{tabular}{|l|c|c|} \cline { 2 - 3 } \multicolumn{1}{c|}{} & Goalie & No goalie \\ \hline Redbirds score & \(0.1\) & \(0.3\) \\ \hline Bluebirds score & \(0.1\) & \(0.6\) \\ \hline \end{tabular} a. Find the probability that the Redbirds score and the Bluebirds do not score when the coach leaves the goalie in. b. Find the probability that the Redbirds score and the Bluebirds do not score when the coach takes the goalie out. c. Based on parts (a) and (b), what should the coach do?

Create and conduct a survey in your class. Organize the results in a two-way table. Then create a two-way table that shows the joint and marginal frequencies.

You and your friend are 2 of 8 servers working a shift in a restaurant. At the beginning of the shift, the manager randomly assigns one section to each server. Find the probability that you are assigned Section 1 and your friend is assigned Section 2.

ANALYZING RELATIONSHIPS A bag contains 9 red marbles, 4 blue marbles, and 7 yellow marbles. You randomly select three marbles from the bag. What is the probability that all three marbles are red when (a) you replace each marble before selecting the next marble, and (b) you do not replace each marble before selecting the next marble? Compare the probabilities.

You make 6 posters to hold up at a basketball game. Each poster has a letter of the word TIGERS. You and 5 friends sit next to each other in a row. The posters are distributed at random. Find the probability that TIGERS is spelled correctly when you hold up the posters.

A research group surveys parents and coaches of high school students about whether competitive sports are important in school. The two-way table shows the results of the survey. $$ \begin{array}{|l|c|c|c|} \hline & \text { Parent } & \text { Coach } & \text { Total } \\ \hline \text { Yes } & 880 & 456 & 1336 \\ \hline \text { No } & 120 & 45 & 165 \\ \hline \text { Total } & 1000 & 501 & 1501 \\ \hline \end{array} $$ a. What does 120 represent? b. What does 1336 represent? c. What does 1501 represent?

ATTEND TO PRECISION The table shows the number of tropical cyclones that formed during the hurricane seasons over a 12-year period. Find (a) the probability to predict whether a future tropical cyclone in the Northern Hemisphere is a hurricane, and (b) the probability to predict whether a hurricane is in the Southern Hemisphere. $$ \begin{array}{|c|c|c|} \hline \begin{array}{c} \text { Type of Tropical } \\ \text { Cyclone } \end{array} & \begin{array}{c} \text { Northern } \\ \text { Hemisphere } \end{array} & \begin{array}{c} \text { Southern } \\ \text { Hemisphere } \end{array} \\ \hline \text { tropical depression } & 100 & 107 \\ \hline \text { tropical storm } & 342 & 487 \\ \hline \text { hurricane } & 379 & 525 \\ \hline \end{array} $$