Ten cars are in a race. How many ways can we have first, second, and third place?
What is 720
100
What is the value of 7 P 2 ?
What is 42
100
A number cube with faces numbered 1, 2, 3, 4, 5, and 6 is rolled. Find the probability of rolling a number less than 7.
What is 1
100
What is 5 !
120
100
What is the probability that you flip a coin and it lands on either heads or tails?
What is 1
200
How many two card hands can be dealt from a deck of 52 cards?
What is 1326
200
What is the value of 8 C 7 ?
What is 8
200
A drawer contains 2 red socks, 7 white socks, and 9 blue socks. Without looking, you draw out a sock and then draw out a second sock without returning the first sock. What is the probability that the first sock and second sock are both red?
What is 1/153
200
You walk into a store. You can buy either a pair of jeans or a sweater. There are 4 pair of jeans and 8 sweaters to choose from. How many different choices do you have for your purchase?
What is 12
200
You have 6 red marbles, 2 yellow marbles, and 2 blue marbles in a jar. You reach in and pull out a marble without looking. Find the probability of drawing a blue marble if you know that you did not draw a red marble.
What is 1/4
300
A coin is tossed twice and then a die is rolled. How many different outcomes are possible?
What is 24
300
A coin is tossed and a die is rolled. What is the probability that the coin shows heads and the die shows a two?
What is 1/12
300
A bag contains 5 green marbles and 6 blue marbles. What is the probability of drawing a blue marble and then a green marble if you replace the first marble?
What is 30/121
300
From a dessert cart in a fine restaurant, customers are allowed to pick a dessert. They may choose either a slice of cake or a piece of pie. If there are 7 different types of cakes to choose from and 4 different types of pies to choose from, how many choices do they have?
What is 11
300
The sections on a spinner are numbered 1 through 8. If the probability of landing on a given section is the same for all sections and you know that you did not land on an even number, what is the probability of landing on the 5?
What is 1/4
400
Four people must stand in a row for a group photo. How many different ways can they be lined up for the photo?
What is 24
400
The sections of a spinner are numbered 1 through 8. If the probability of landing on a given section is the same for all sections, what is the probability of spinning a number less than 4 or greater than 7 in a single spin?
What is 1/2
400
The track coach has a group of nine runners from which to choose a 4-person relay team. How many different 4-person teams can be formed from this group of runners.
What is 126
400
An ice cream shop has five flavors: chocolate, vanilla, cherry, strawberry, and butterscotch. If a customer wants to choose 3 different flavors , how many different combinations are possible?
What is 10
400
Robert puts 3 dimes and 2 quarters in a bag. He then picks one coin at random. What is the expected value, in cents, of each pick in this experiment?
What is 16 cents
500
What is 7!
What is 5040
500
A lunch menu consists of 4 different sandwiches, 3 different soups, and 5 different drinks. How many choices are there for ordering a sandwich, soup, and drink?
What is 60
500
Which sampling method is most likely to give a representative sample of the opinions of voters in an election race for governor of a state?
a. poll every customer who comes into a car dealership and is willing to answer the questions
b. ask viewers that watch the evening news to register their opinions on the station's web site
c. Call 1000 randomly selected registered voters and ask their opinion.
What is C
500
Two cards are randomly selected from a standard deck of 52 cards. What is the probability of selected two hearts if the first card is not replaced?
What is 1/17
500
To play a game, Jenna tosses a number cube with faces numbered 1 through 6 . If she tosses a number greater than 3, she loses 5 points. If she tosses a number less than 4, she wins 5 points. What is her expected value? Is the game fair?