In earlier Exercise, find the probability that the buyer will not want a two-car garage.

If three people are selected, find the probability that all three were born in March.

How many different ID cards can be made if there are six digits on a card and no digit can be used more than once?

A survey done by Harris International QUICKQUERY found the $10 \%$ of women had a fear of flying. If 50 women are selected, find the probability that 6 will have a fear of flying.

In a survey, sixteen percent of male college students said they lied to get a woman to go out on a date with them. If a male college student is chosen at random, find the probability that he does not lie to get a date with a woman.

In putting together the music lineup for an outdoor spring festival, Fast Eddie can choose from 4 student bands and 12 nonstudent bands. There are fi ve time slots for bands; the first at 3 P.M., the others on the hour until 7 P.M. If Eddie chooses the bands randomly, find the probability that no student bands will be picked

There are six cards placed face down in a box. Each card has a number written on it. One is a 4, one is a 5, one is a 2, one is a 10, one is a 3, and one is a 7. A person selects a card. Find the expected value of the draw.

How many ways can a student select five questions from an exam containing nine questions? How many ways are there if he must answer the first question and the last question?

While practicing juggling with a die, a quarter, and a spoon, Ken drops the quarter first and then the die and is left holding the spoon. Find the probability of getting a 3 on the die given that the coin landed heads up.

On a small college campus, there are 5 English professors, 4 mathematics professors, 2 science professors, 3 psychology professors, and 3 history professors. If a professor is selected at random, find the probability that the professor is the following:

a. An English or psychology professor

b. A mathematics or science professor

c. A history, science, or mathematics professor

d. An English, mathematics, or history professor

On a small college campus, there are five English professors, four mathematics professors, two science professors, three psychology professors, and three history professors. If a professor is selected at random, find the probability that the professor is (a) An English or psychology professor. (b) A mathematics or science professor. (c) A history, science, or mathematics professor. (d) An English, mathematics, or history professor.

Thirty-nine of fifty states are currently under court order to alleviate overcrowding and poor conditions in one or more of their prisons. If a state is selected at random, find the probability that it is currently under such a court order.

A survey done by Harris found that $40 \%$ of the people surveyed said that their children will have between $\$ 5,001$ and $\$ 20,000$ in debt when they graduate from college. If 25 people are selected, find the probability that 14 will say that their children will have a debt between $\$ 5,001$ and $\$ 20,000$ when they graduate from college.

Find the probability of an event when the odds against the event are 3:7.