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How many different four-letter radio station call letters can be formed if the first letter must be W or K?

If people understood the mathematics involving probabilities and lotteries, as you now do, do you think they would continue to spend hundreds of dollars per year on lottery tickets? Explain your answer.

In Exercises 21-26, a fair coin is tossed two times in succession. The set of equally likely outcomes is \(\\{H H, H T, T H, T T\\}\). Find the probability of getting two heads.

A social security number contains nine digits, such as 074-66-7795. How many different social security numbers can be formed?

Figure \(\mathbf{1 1 . 2}\) on page 689 shows that a tree diagram can be used to find the total number of outfits. Describe one advantage of using the Fundamental Counting Principle rather than a tree diagram.

A fair coin is tossed two times in succession. The set of equally likely outcomes is \(\\{H H, H T, T H, T T\\}\). Find the probability of getting a head on the second toss.

A fair coin is tossed two times in succession. The set of equally likely outcomes is \(\\{H H, H T, T H, T T\\}\). Find the probability of getting at least one head.

Make Sense? Determine whether each statement makes sense or does not make sense, and explain your reasoning. From an investment point of view, a state lottery is a very poor place to put my money.

The probability that a region prone to flooding will flood in any single year is \(\frac{1}{10}\). a. What is the probability of a flood two years in a row? b. What is the probability of flooding in three consecutive years? c. What is the probability of no flooding for ten consecutive years? d. What is the probability of flooding at least once in the next ten years?

You are dealt one card from a 52-card deck. Find the probability that you are dealt a heart or a picture card.