91Ó°ÊÓ

In Exercises 25-26, a single die is rolled. Find the probability of rolling an even number or a number less than \(5 .\)

A single die is rolled. Find the probability of rolling an odd number or a number less than 4 .

I used the Fundamental Counting Principle to determine the number of five- digit ZIP codes that are available to the U.S. Postal Service.

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?

Evaluate each factorial expression. \(\left(\frac{45}{9}\right) !\)

We return to our box of chocolates. There are 30 chocolates in the box, all identically shaped. Five are filled with coconut, 10 with caramel, and 15 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting two caramel-filled chocolates in a row.

In Exercises 27-30, you are dealt one card from a 52-card deck Find the probability that you are dealt a 5 or a black card.

We return to our box of chocolates. There are 30 chocolates in the box, all identically shaped. Five are filled with coconut, 10 with caramel, and 15 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting a coconut-filled chocolate followed by a solid chocolate.

A popular state lottery is the \(5 / 35\) lottery, played in Arizona, Connecticut, Illinois, Iowa, Kentucky, Maine, Massachusetts, New Hampshire, South Dakota, and Vermont. In Arizona's version of the game, prizes are set: First prize is \(\$ 50,000\), second prize is \(\$ 500\), and third prize is \(\$ 5\). To win first prize, you must select all five of the winning numbers, numbered from 1 to 35 . Second prize is awarded to players who select any four of the five winning numbers, and third prize is awarded to players who select any three of the winning numbers. The cost to purchase a lottery ticket is \(\$ 1\). Find the expected value of Arizona's "Fantasy Five" game, and describe what this means in terms of buying a lottery ticket over the long run.

The digits \(1,2,3,4\), and 5 are randomly arranged to form a three-digit number. (Digits are not repeated.) Find the probability that the number is even and greater than 500 .