Counting
Factorial
How many ways?
Probability
100
All possible outcomes are heads or tails.
What is the sample space when you toss a fair coin?
100
5×4×3×2×1
What is 5 factorial (5!)?
100
The cardinal number for the sample space for tossing a fair die is ___.
What is 6?
100
The letters in the word "P f e f f e r n u e s s e" have been placed into a hat and one letter will be randomly selected. The probability of selecting a 'f' is ______ over 13.
What is 3?
200
A bag contains 25 marbles of four diffeent colors: red, yellow, blue and green. What is the fewest number of marbles you need to select to ensure that you get two marbles of the same color?
What is five (5)?
200
How many ways can 10 books be placed in 10 spaces on a bookshelf?
What is ten factorial (10!)?
200
Twelve people enter a race. There are ___ ways to determine first, second and third places.
What is 1320?
200
One card is selected at random from a standard 52 card deck. The probability of selecting a face card is ______.
What is one fourth (1/4)?
300
Evaluate a combination of 5 choose 2
What is 10?
300
Evaluate 80!/78!
What is 6320?
300
If a bag contains 8 pieces of candy, you can choose 3 pieces in ___ ways.
What is 56?
300
For a person whose last name is Greene. The probability of selecting a vowel in their last name is ____.
What is one half (1/2)?
400
There are _______ four digit numbers with the following characteristics: First digit is even and the second digit is odd; and the third and fourth digits can be any digit 0 through 9.
What is 2000?
400
8! divided by [0!(8-0)!]
What is 1?
400
Two fair dice are tossed and the sum of their top faces are found. ___ of the outcomes will have a sum that is divisible by 5.
What is 7?
400
The probability of selecting a number less than 5 or in the top row is ____. 16 2 3 13 5 11 10 8 9 7 6 12 4 14 15 1
What is 3/8?
500
Determine the number of arrangements for the letters of the word GLASS.
What is 60?
500
16! divided by 12!
What is 43680?
500
Two fair dice are tossed and the sum of their top faces are found. ___ of the outcomes will have a sum that is greater than 7.
What is 15?
500
Two cards are selected at random from a standard 52-card deck. Find the probability that both are queens, if you are drawing without replacement.
What is 1/221?