Unit 5: Probability Unit Test

Answer the question. What is the probability of an event that is certain to occur?

1.

What is the likelihood that a fair coin will land heads or tails?

1.

Solve the problem. In a certain lottery, five different numbers between 1 and 20 inclusive are drawn. To win the lottery, a person must be select the correct 5 numbers in the same order in which they were drawn. What is the probability of winning?

1/1,860,480.

What is the probability the sum of two rolled dies is 12?

1/36.

Find the indicated probability. Find the probability of correctly answering the first 5 questions on a multiple choice test if random guesses are made and each question has 6 possible answers.

1/7776.

Find the indicated probability. A die with 6 sides is rolled and the number on top is observed. what is the probability of rolling a die once and observing a number less than 5?

2/3.

Solve the problem. There are 8 members on a board of directors if they must form a subcommittee of 6 members how many different subcommittees are possible?

28.

For every truck a police officer encounters she writes down T, for every car C, for every van V, and for every vehicle that is not a car, truck or van O (for "other"). Estimate the probability that the next vehicle the police officer encounters is not a car, truck, or van.

3/19.

If you pick a card at random from a well shuffled deck, what is the probability that you get a spade or a king?

4/13.

Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted. The table below shows the soft drinks preference of people in three age groups. If one of the 255 subjects is randomly selected, find the probability that a person is over 40 and prefers cola.

4/51.

Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted. The following table contains data from a study of two airlines which fly to Small Town, USA. If one of the 87 flights is randomly selected, find the probability that the flight selected is an Upstate Airlines flight which was on time.

43/47.

Evaluate the expression. 9!/6!

504.

A jug of water is pierced and begins to drip. The number of seconds between each drip is recorded. Estimate the probability the next drip will occur in under 5 seconds. 1 3 2 1 1 4 6 5 6 7 7 8 9 6 9 8 6

6/17.

A circle is divided into 9 uneven "pie" shaped pieces. Each section is labeled 1, 2, ... , 9. The circle is then spun and the number pointing north recorded. Estimate the central angle of the section labeled 4. 4 3 2 1 9 8 5 6 7 4 3 2 1 5 8 6 5 4

60.

Solve the problem. Twelve wrestlers compete in a competition. If each wrestler wrestles one match with each other wrestler, what is the total number of matches?

66.

Solve the problem. A pollster wants to minimize the effect the order of the questions has on a person's response to a survey. How many different surveys are required to cover all possible arrangements if there are 6 questions on the survey?

720.

If you pick a card at random from a well shuffled deck, what is the probability that your card is NOT a spade or a king?

9/13.

Express the indicated degree of likelihood as a probability value. Your mother passed away two years before you were born.

0.

Find the indicated probability. A charity is conducting a raffle, and it sells one ticket each to 35 women and 21 men. If 5 winners are randomly selected, what is the probability that they are all men? Round to five decimal places.

0.00533.

Solve the problem. A firm uses trend projection and seasonal factors to simulate sales for a given time period. It assigns "0" if sales fall, "1" if sales are steady, "2" if sales rise moderately, and "3" if sales rise a lot. The simulator generates the following output. 0 1 0 2 2 0 0 1 2 3 2 0 2 0 2 2 1 2 3 1 2 2 2 0 3 0 0 2 1 2 1 Estimate the probability that sales will remain steady.

0.194.

The probability of an event A occurring is 0.73. Determine P(Ā).

0.27.

Find the indicated probability. The table below describes the exercise habits of a group of young adults. If two different people are randomly selected from the 884 subjects, find the probability that they are both women. Round to four decimal places.

0.3274.

Find the indicated probability. Round to the nearest thousandth. In a batch of 8,000 clock radios 5% are defective. A sample of 14 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected?

0.512.

Solve the problem. A firm uses trend projection and seasonal factors to simulate sales for a given time period. It assigns "0" if sales fall, "1" if sales are steady, "2" if sales rise moderately, and "3" if sales rise a lot. The simulator generates the following output. 0 1 1 2 2 0 1 1 2 3 2 1 2 1 2 2 1 2 3 1 2 2 2 0 3 1 0 2 1 2 1 Estimate the probability that sales will rise at least moderately.

0.516.

One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below shows the results. If one of the 100 employees is randomly selected, find the probability of getting someone who carpools or someone who works full time.

0.56.

A company wanted to determine what percentage of its employees stayed for at least 1, 2, and 3 years. The data they compiled is given below and covers 200 male employees and 300 female employees. What is the probability that an employee stayed for at least one year? Round your answer to the nearest hundredth.

0.71.

What is the probability that 4 randomly selected people all have different birthdays? Ignore leap years, and round your final answer to four decimal places.

0.9836.

Find the indicated probability. Round to the nearest thousandth. An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer.

0.999.

Which of the following descriptions could represent the Venn diagram?

Of the 24 letters in the Greek alphabet, 7 are vowels. The shaded area represents the letters that are not vowels.

Which is a compound event?

heads lands 3 times in 8 coin flips.