10. Sequences, Induction, and Probability

In Exercises 11–16, a die is rolled. Find the probability of getting an odd number.

In Exercises 39–44, you are dealt one card from a 52-card deck. Find the probability that you are not dealt a king.

If you toss a fair coin six times, what is the probability of getting all heads?

What is the probability of a family having five boys born in a row? (Assume the probability of a male birth is 1/2.)

Exercises 98–100 will help you prepare for the material covered in the next section. The figure shows that when a die is rolled, there are six equally likely outcomes: 1, 2, 3, 4, 5, or 6. Use this information to solve each exercise. What fraction of the outcomes is less than 5?

Exercises 98–100 will help you prepare for the material covered in the next section. The figure shows that when a die is rolled, there are six equally likely outcomes: 1, 2, 3, 4, 5, or 6. Use this information to solve each exercise. What fraction of the outcomes is not less than 5?

Exercises 98–100 will help you prepare for the material covered in the next section. The figure shows that when a die is rolled, there are six equally likely outcomes: 1, 2, 3, 4, 5, or 6. Use this information to solve each exercise. What fraction of the outcomes is even or greater than 3?

In Exercises 11–16, a die is rolled. Find the probability of getting a 4.

In Exercises 21–22, a fair coin is tossed two times in succession. The sample space of equally likely outcomes is {HH,HT,TH,TT}. Find the probability of getting two heads.

In Exercises 49–52, a single die is rolled twice. Find the probability of rolling an even number the first time and a number greater than 2 the second time.

You are dealt one card from a 52-card deck. Find the probability of getting an ace or a king.

In Exercises 17–20, you are dealt one card from a standard 52-card deck. Find the probability of being dealt a picture card.

In Exercises 49–52, a single die is rolled twice. Find the probability of rolling a 2 the first time and a 3 the second time.

A die is rolled. Find the probability of getting a number less than 3 or greater than 4.

The probability of a flood in any given year in a region prone to floods is 0.2. What is the probability of no flooding for four consecutive years?

In Exercises 17–20, you are dealt one card from a standard 52-card deck. Find the probability of being dealt a queen.

In Exercises 45-46, it is equally probable that the pointer on the spinner shown will land on any one of the eight regions, numbered 1 through 8. If the pointer lands on a borderline, spin again. Find the probability that the pointer will stop on an odd number or a number less than 6.

A die is rolled. Find the probability of getting a number less than 5.

The probability of a flood in any given year in a region prone to floods is 0.2. What is the probability of a flood for three consecutive years?

In Exercises 11–16, a die is rolled. Find the probability of getting a number greater than 4.

In Exercises 39–44, you are dealt one card from a 52-card deck. Find the probability that you are not dealt a picture card.

The probability of a flood in any given year in a region prone to floods is 0.2. What is the probability of a flood two years in a row?