Chapter 14

If the probability that a Sidewinder missile hits its target is \(\frac{8}{9},\) then what are the odds a) in favor of the Sidewinder hitting its target? b) against the Sidewinder hitting its target?

How many ways are there to mark the answers to a test that consists of 10 true-false questions followed by 10 multiple-choice questions with 5 options each?

If the probability that the stock market goes up tomorrow is \(\frac{3}{5},\) then what are the odds a) in favor of the stock market going up tomorrow? b) against the stock market going up tomorrow?

A fraternity votes on whether to accept each of 5 pledges. How many different outcomes are possible for the vote?

If the probability of a coal miners' strike this year is \(\frac{9}{10}\) then what are the odds a) in favor of a strike? b) against a strike?

Make a list of all of the ways to arrange the letters in the word MILK. How many arrangements should be in your list?

If the odds are 3 to 1 in favor of the Black Hawks winning their next game, then a) what are the odds against the Black Hawks winning their next game? b) what is the probability that the Black Hawks win their next game?

Make a list of all of the permutations of the letters \(A, B, C\) \(\mathrm{D},\) and \(\mathrm{E}\) taken 3 at a time. How many permutations should be in your list?

If the odds are 5 to 1 against the Democratic presidential nominee winning the election, then a) what are the odds in favor of the Democrat winning the election? b) what is the probability that the Democrat wins the election?

Evaluate expression. \(4 !\)

What are the odds in favor of getting exactly 2 heads in 3 tosses of a coin?

Evaluate expression. \(0 !\)

What are the odds in favor of getting a 6 in a single toss of a die?

Evaluate expression. \(5 !\)

What are the odds in favor of getting at least one 6 when tossing a pair of dice?

Evaluate each expression. \(P(8,0)\)

If one million lottery tickets are sold and only one of them is the winning ticket, then what are the odds in favor of winning if you hold a single ticket?

If the odds in favor of getting 5 heads in 5 tosses of a coin are 1 to 31, then what is the probability of getting 5 heads in 5 tosses of a coin?

If the odds against Smith winning the election are 2 to 5, then what is the probability that Smith wins the election?

Evaluate expression. \(P(52,0)\)

In the Louisiana Lottery a player chooses 6 numbers from the numbers 1 through 44. You win the big prize if the 6 chosen numbers match the 6 winning numbers chosen on Saturday night. a) What is the probability that you choose all 6 winning numbers? b) What is the probability that you do not get all 6 winning numbers? c) What are the odds in favor of winning the big prize with a single entry?

In the Louisiana Power Ball a player chooses 5 numbers from the numbers 1 through 49 and one number (the power ball) from 1 through 42. a) How many ways are there to choose the 5 numbers and choose the power ball? b) What is the probability of winning the big prize in the Louisiana Power Ball? c) What are the odds in favor of winning the big prize?

Evaluate expression. \(\frac{P(10,4)}{4 !}\)

Evaluate expression. \(\frac{P(8,3)}{3 !}\)

Evaluate expression. \(\frac{P(12,3)}{3 !}\)

Evaluate expression. \(\frac{P(15,6)}{6 !}\)

Evaluate expression. \(\frac{14 !}{3 ! 11 !}\)

Evaluate expression. \(\frac{18 !}{17 ! 1 !}\)

Evaluate expression. \(\frac{98 !}{95 ! 3 !}\)

Evaluate each expression without using a calculator. $$\frac{8 !}{3 ! 5 !}$$

Evaluate expression. \(\frac{87 !}{83 ! 4 !}\)

Evaluate each expression without using a calculator. $$\frac{8 !}{2 ! 6 !}$$

Evaluate each expression without using a calculator. $$\frac{8 !}{5 !}$$

Evaluate each expression without using a calculator. $$\frac{9 !}{7 !}$$

Evaluate each expression without using a calculator. $$C(4,0)$$

Evaluate each expression without using a calculator. $$C(4,1)$$

Evaluate each expression without using a calculator. $$C(5,2)$$

Evaluate each expression without using a calculator. $$C(5,3)$$

Evaluate each expression without using a calculator. $$P(5,2)$$