The Federal Bureau of Investigation reported that in 2007, there were 7,624 incidents of hate crimes that had a bias motivation based on race, religion, sexual orientation, nationality, or disability. Of these incidents, 6,965 were committed by a “known offender,” where one or more attributes is known about the offender. If one incident is selected at random, find the probability that the incident was committed by a known offender.

In earlier Exercise, find the probability none of them are hurdlers.

Find the odds against an event E when P(E)=$\frac{4}{9}$

How many different four-letter permutations can be formed from the letters in the word decagon?

Colby tosses the contents of his jeans onto a table before putting them into the washer. Among the things thrown are three dice. Find the probability that the dice landed so that (a) All three have the same number showing. (b) The three numbers sum to 5.

Find the odds in favor of an event E when P(E)=$\frac{3}{8}$

Evaluate

$$\begin{aligned} &{ }_6 P_2 \end{aligned}$$

.

decide whether the statement described is a combination or a permutation.

• Mark looks over the novels on his bookshelf and lists his five favorites ranked 1 through 5.

In a group of eight Olympic track stars, five are hurdlers. If three are selected at random without replacement, find the probability they are all hurdlers.

A recent survey reported that sixty seven percent of Americans approve of human embryonic stem cell research. If an American is selected at random, find the probability that he or she will disagree or have no opinion on the issue.

Approximately $20 \%$ of all college students in the United States do not have health insurance. If 10 college students are randomly selected in the United States, find the probability that 3 will not have health insurance.

A card is selected from a deck. Find the probability that it is a diamond given that it is a red card.

In a math class of seven women and nine men, if one person is selected at random to come to the board to show the solution to a problem, what is the probability that the student is a man?

As an experiment in probability, a two-question multiple choice quiz is given at the beginning of class, but the answers are all written in Hebrew, which none of the students can read. This forces everyone to guess. Each question has choices A, B, C, D, and E. Construct a table that displays the sample space, then use the table to find the probability that both questions in a randomly selected quiz were answered with D or E (either D-E, or E-D).