Exam 7: Probability: Living With the Odds

Provide an appropriate response. -The combination formula can be used to determine which of the following? A: The number of sequences of 3 letters using the letters $A , B , C$ , and D if repetitions are not allowed B: The number of ways of choosing a president and a treasurer from 10 people C: The number of ways to choose 3 friends from 10 to invite to dinner

Solve the problem. -Dave puts a collection of 15 books on a bookshelf in a random order. Among the books are 2 fiction and 13 nonfiction books. What is the probability that the 2 fiction books will be together on the left Side of the shelf and the 13 nonfiction all together on the right side of the shelf?

Evaluate the factorial expression. - $\frac { 7 ! } { 9 ! }$

Use the at least once rule to find the indicated probability. -Find the probability of getting at least one tail when tossing 6 fair coins.

Determine whether the events A and B are independent. -A balanced die is rolled twice. Event A: The sum of the two rolls is 8 Event B: The first roll comes up 3

Solve the problem. -There are 5 women running in a race. If a person guesses randomly the first place, second place, and third place winners, what is the Probability that they will guess all winners correctly?

Find the indicated probability. Round your answer to 6 decimal places when necessary. -One card is selected from a deck of cards. Find the probability of selecting a heart or a card less than 8 . (Note: The ace is considered a low card.)

Solve the problem. -How many different 4-topping pizzas can be made if there are 13 individual toppings to choose from? Assume that no topping is used more than once and that the order of the toppings on the Pizza is unimportant.

Solve the problem. -Find the odds for getting two tails and a head when three fair coins are flipped.

Find the indicated probability. Round your answer to 6 decimal places when necessary. -A bag contains 6 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?

Find the indicated probability. Round your answer to 6 decimal places when necessary. -Find the probability of rolling 3 successive 2s with 3 rolls of a fair die.

Provide an appropriate response. -When tossing a fair coin, which of the following events is more unlikely? A: Getting $60 \%$ tails in 10 tosses B: Getting $60 \%$ tails in 100 tosses $\mathrm { C }$ : Getting $60 \%$ tails in 1000 tosses

Find the indicated probability. Round your answer to 6 decimal places when necessary. -The probability that Luis will pass his statistics test is 0.75. Find the probability that he will fail his statistics test.

Solve the problem. -At a lumber company, shelves are sold in 5 types of wood, 3 different widths and 6 different lengths. How many different types of shelves could be ordered?

Determine whether the events A and B are independent. -A balanced die is rolled twice. Event A: Six comes up on the first roll Event B: Six comes up on the second roll

Solve the problem. Round your answer to 5 decimal places when necessary. -The table shows the leading causes of death for one country in a single recent year. Cause of Death Deaths Heart Disease 135,300 Cancer 110,700 AIDS 58,425 Stroke 36,285 Pulmonary Disease 34,563 Accidents 32,595 Diabetes 14,883 Pneumonia 13,776 Kidney Disease 7257 Assume a population of 61.5 million. How much greater is the risk of death by cancer than the risk of death by accident?

Solve the problem. -How many ways can an IRS auditor select 5 of 10 tax returns for an audit?

Solve the problem. Round your answer to 2 decimal places when necessary. -The overall U.S. death rate for 60-62 year-olds is approximately 13 deaths per 1000 people. If there are about 12,142 60-62 year olds in a U.S. city, how many 60-62 year olds can be expected to die in A year in that city?

Find the indicated probability. Round your answer to 6 decimal places when necessary. -A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a 5?

Solve the problem. Round your answer to 2 decimal places when necessary. -A certain U.S. city had 54 traffic fatalities last year. There were 3.3 million miles driven in the city.. Determine the traffic fatality rate per 1,000,000 miles driven.