Chapter 7: Probability

Chapter Review

Mrs. Parziale

• Solve for the variable

5 47n nP P8 62n nP P

• Solve for the variable

!6!

56

x ( 1)!

19( 2)!

x

x

• If you have three pairs of jeans, two pairs of sneakers, and five sweatshirts, how many different outfits consisting of jeans, a sweatshirt, and sneakers can you make?

• Let x be a randomly selected number from the set {1, 2 ,3, 5, 8, 13, 21, 34, 55, 89}

• Calculate the probability:– P(x is even or x < 8)– P(x is even and x < 8)

• How many ways could 7 students enter school?

• How many different 3-digit numerals can be made from the digits 45678 if a digit can appear just once in a numeral?

• How many arrangements are there of the letters in the word NUMBER if all letters are used?

• How many four-letter arrangements are there in the word FLORIDA?

• How many 5-card hands could be dealt from a deck of 52 cards?

• How many different 5-letter arrangements could you make using all the letters of the alphabet?

• Mr. Vanilla has decided to get three toppings on his ice cream cone today. The ice cream shop offers eight different toppings. How many choices does he have, assuming he will not get the same topping more than once.

• The principal of Tiny High School wants to form a new junior student council, so she randomly chooses a president, a vice-president, a secretary, and a treasurer from the 45 students in the sophomore class. How many different student councils are possible?

• Consider an experiment in which a 6 sided die is rolled and a spinner with 3 colors - red, blue, and yellow is spun.– Give the experiment’s sample space.

– What is the probability the number rolled is even and the color spun is yellow?

– Are these independent or dependent events?

• A test contains 15 multiple choice questions with 4 choices each. The test also has 10 true and false questions. Assuming a student answers all questions, how many different answer sheets are possible?

• What is the probability that student answers all questions correctly?

• A survey is conducted to determine the number of households that recycle in a certain city. It is found that 32% recycle aluminum cans, 47% recycle newspaper, and 28% recycle both aluminum cans and newspaper. What is the probability that a household recycles only one of these resources?

• A researcher conducted an opinion poll in which he asked people to rank their top 5 preferences for mayor from a list of 20 potential candidates. How many such rankings are possible?

• Does the following table shows a probability distribution?

• Calculate the expected value.

x 1 2 3 4 5P(x) .03 .47 .22 .05 . 23