Exam 4: Probability and Counting Rules

For this year's mayoral election, voter dissatisfaction is very high. In a survey of 100 likely voters, 26 said they planned to write in an independent candidate rather than vote for the Democrat or Republican candidate for mayor. What is the probability that a surveyed voter plans to write in an independent candidate?

At Wassamatta University, 59.3% of the student body are males. Choose one student at random. What is the probability that the student is female?

A survey asked respondents to indicate their level of satisfaction with government spending. The results are show below. Response Number Very satisfied 774 Somewhat satisfied 3959 Dissatisfied 7668 Total 12,401 Assume this is a simple random sample from a population. Use the Empirical Method to ، the probability that a person is dissatisfied with government's spending?

A section of an exam contains two multiple-choice questions, each with three answer choices (listed "A", "B", and "C"). List all the outcomes of the sample space.

Out of 733 items checked out of a public library, 269 were fiction books, 222 were non-fiction books, and 242 were videos (of any genre). What is the probability that a Randomly-selected item was not a video?

On a recent Saturday, a total of 1112 people visited a local library. Of these people, 266 were under age 10, 496 were aged 10-18, 189 were aged 19-30, and the rest were more than 30 years old. One person is sampled at random. What is the probability that the person is less than 19 years old?

What is the correct relationship between events A and B: A: Kathleen made an A on her Biology final exam. B: Kathleen did not make an A on the Biology final exam.

If a menu has a choice of 5 appetizers, 3 main courses, and 3 desserts, how many dinners are possible if each includes one appetizer, one main course, and one dessert?

A coin is tossed 758 times and comes up heads 409 times. Use the Empirical Method to approximate the probability that the coin comes up heads.

A bookcase contains 2 statistics books and 5 biology books. If 2 books are chosen at random, the chance that both are statistics books is

A football team consists of 15 freshmen and 15 sophomores, 14 juniors, and 14 seniors. Four players are selected at random to serve as captains. Find the probability that at least 1 of the students is a senior.

Tree diagrams are useful for

The numbers 1 through 9 are written in separate slips of paper, and the slips are placed into a box. Then, 4 of these slips are drawn at random. What is the probability that the drawn slips are "1", "2", "3", and "4", in that order?

Let $A , B$ and $C$ be independent events with $P ( A ) = 0.1 , P ( B ) = 0.7$ , and $P ( C ) = 0.9$ . Find $P ( A$ and $B$ and $C )$ .

In a second grade class containing 15 girls and 11 boys, 2 students are selected at random to give out the math papers. What is the probability that the second student chosen is a Boy, given that the first one was a girl?

What is the correct relationship between events A and B: A: Laura participated in an out-of-town volleyball game at 11:00 AM last Friday. B: Laura met with her academic advisor on campus at 11:00 AM last Friday.

A probability experiment has two steps. There are two possible results for the first step, call them "A" and "B". If the result for the first step was "A", then there would be 5 Possible results for the second step. If the result for the first step was "B", then there Would be 12 possible results for the second step. How many possible outcomes are there For this experiment?

The letters "A", "B", "C", "D", "E", and "F" are written on six slips of paper, and the slips are placed into a hat. If the slips are drawn randomly without replacement, what is The probability that "E" is drawn first and "C" is drawn second?