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Find the number of ways you can arrange (a) all of the letters and (b) 2 of the letters in the given word. WATER

Find the number of possible outcomes in the sample space. Then list the possible outcomes. You draw two marbles without replacement from a bag containing three green marbles and four black marbles.

A survey asks 60 teachers and 48 parents whether school uniforms reduce distractions in school. Of those, 49 teachers and 18 parents say uniforms reduce distractions in school. Organize these results in a two-way table. Then find and interpret the marginal frequencies.

Find the number of ways you can arrange (a) all of the letters and (b) 2 of the letters in the given word. FAMILY

In Exercises 7 and 8, use the two-way table to create a two-way table that shows the joint and marginal relative frequencies. $$ \begin{array}{|l|c|c|c|} \hline & \text { Left } & \text { Right } & \text { Total } \\ \hline \text { Female } & 11 & 104 & 115 \\ \hline \text { Male } & 24 & 92 & 116 \\ \hline \text { Total } & 35 & 196 & 231 \\ \hline \end{array} $$

A game show airs on television five days per week. Each day, a prize is randomly placed behind one of two doors. The contestant wins the prize by selecting the correct door. What is the probability that exactly two of the five contestants win a prize during a week.

Determine whether the events are independent. (See Examples I and 2.) You have one red apple and three green apples in a bowl. You randomly select one apple to eat now and another apple for your lunch. Use a sample space to determine whether randomly selecting a green apple first and randomly selecting a green apple second are independent events.

Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades.

When two six-sided dice are rolled, there are 36 possible outcomes. Find the probability that (a) the sum is not 4 and (b) the sum is greater than 5.

Determine whether the events are independent. (See Examples I and 2.) A student is taking a multiple-choice test where each question has four choices. The student randomly guesses the answers to the five-question test. Use a sample space to determine whether guessing Question 1 correctly and Question 2 correctly are independent events.