A restaurant has \(3\) flavors of soda that come in \(3\) different cup sizes. How many different ways can you order a soda?

Suppose you are taking a final exam that consists of \(8\) true-or-false questions. How many total possible ways can you answer the questions on your test?

Find the total possible outcomes for events \(A\) and \(B\).

Find the number of permutations of the letters in the set \(\{\text{E, N, G, L, I, S, H}\}\).

How many strings of letters can be made from the letters in the word FINAL, if no letter can be repeated?

How many ways are there for three people from the set \(\{\text{Pat, Diane, Tim, JoAnn}\}\) to win first, second, and third prize in a contest?

How many four-person committees can be selected from a set of \(7\) people?

Suppose you draw a card out of a \(52\)-card deck. You observe the color of the card in your hand. Give the sample space.

Inside a jar are six ping-pong balls, each showing numbers \(1\) through \(6\). Give the sample space of the ping-pong balls you can select.

If an iPhone user was chosen at random, answer the following questions.

1. What is the probability that they replaced another iPhone with their new iPhone?

2. What is the probability that they replaced a Blackberry or an Android with their iPhone?

3. What is the probability that they did not replace an old iPhone with their new iPhone?

The table shows the length of time it took \(500\) college graduates to obtain their bachelor’s degree. If a graduate from this group is selected at random, find the probabilities of the following events. Give your answers as both reduced fractions and decimals rounded to the nearest hundredth.

1. The graduate took \(4\) years to complete their degree.

2. The graduate took more than \(6\) years or less than \(4\) years to complete their degree.