Probability 7.3 and 7.4

A local pizza parlor has the following list of toppings available for selection.  The parlor is running a special to encourage patrons to try new combinations of toppings.  They list all possible four-topping pizzas (4 distinct toppings) on individual cards and give away a free pizza every hour to a lucky winner.  Find the probability that the first winner randomly selects the card for the pizza topped with Roma tomatoes, black olives, ham, and banana peppers.  Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

(a)  

Tags

CCSS.HSS.CP.B.9

There are 8 balls numbered 1 through 8 placed in a bucket.  What is the probability of reaching into the bucket and randomly drawing three balls numbered 5, 8, and 4 without replacement, in that order?  Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

(a)  

Tags

CCSS.HSS.CP.B.9

CCSS.HSS.CP.B.8

Let the event E be the sum of a pair of dice that is greater than 6.  List the events (sums) in E^c (the complement of E)

• 1 ,2 ,3, 4, 5, 6

• 6

• 7, 8, 9, 10, 11, 12

• 3, 6, 9, 12

Tags

CCSS.HSS.CP.A.1

Finn and John are going to have a movie night this weekend.  Together, they have 33 movies.  If they decide to randomly choose two movies, what is the probability that the two they choose will consist of each of their favorite movies?  Assume they have different favorites.  Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

(a)  

Tags

CCSS.HSS.CP.B.9

Avery sets up a passcode on her tablet, which allows only nine-digit codes.  A spy sneaks a look at Avery's tablet and sees her fingerprints on the screen over nine numbers.  What is the probability the spy is able to unlock the tablet on his first try?  Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

 

(a)  

Tags

CCSS.HSS.CP.B.9

Camila sets up a passcode on her smart phone, which allows only five-digit codes.  She has heard that it's more secure if a digit is repeated in the passcode.  A spy sneaks a look at Camila's smart phone and sees her fingerprints on the screen over four numbers.  What is the probability the spy is able to unlock the smart phone on his first try?  Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

(a)  

Tags

CCSS.HSS.CP.B.9

The following table lists the ages and number of players per age group that are on a soccer team.  Let A = {soccer players who are older than 10 years old}.  How many players are in the complement of A?

(a)  

Tags

CCSS.HSS.CP.A.1

Find the probability of choosing a letter other than the letter I from a bag that contains the sixteen letters of the name GOTTFRIED LEIBNIZ.  Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

(a)  

Tags

CCSS.7.SP.C.7B

Using the table containing the breakdown of all employees on nonfarm payrolls in the United States during March 2014, find the probability that a randomly selected U.S. worker was not in either Transportation and Warehousing or Wholesale Trade.

Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

(a)  

Three cards are drawn with replacement from a standard deck of 52 cards.  Find the the probability that the first card will be a club, the second card will be a black card, and the third card will be a ten.  Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

(a)  

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3