Counting Principle
Calculator Work
Permutations & Combinations
Theoretical Probability
Experimental & Geometric Probabilities
100
The number of ways you can pick an outfit if you have 3 shirts, 2 pairs of pants, and 5 pairs of shoes.
What is 30 ways?
100
6!
What is 720?
100
The number of ways 6 people can line up.
What is 720 ways?
100
The probability of rolling an odd number on a standard number cube.
What is 1/2 or 50% ?
100
Using the table below showing lottery winnings, the probability of winning $10 or $20:
What is 29/50 or 58% ?
200
The number of ways you can make a sandwich (with one type of bread, meat, and cheese) if you have white, wheat or rye bread; turkey, ham, roast beef, or bologna; and American, cheddar, Swiss, or Pepper Jack cheese.
What is 48 ways?
200
6!/3!
What is 120?
200
The number of ways 8 runners can be 1st, 2nd, or 3rd place.
What is 336 ways?
200
The probability of choosing a number less than 3 or greater than 8 on a spinner with 10 equal spaces numbered from 1 to 10.
What is 2/5 or 40% ?
200
Using the table below showing lottery winnings, the probability of winning more than $1:
What is 18/25 or 72% ?
300
The number of codes that could be made up if I need 2 letters followed by 3 digits and I can repeat digits and letters.
What is 676,000 codes?
300
6!/(3!2!)
What is 60?
300
The number of ways 3 people can be chosen for a committee from 9 possible people.
What is 84 ways?
300
The probability of choosing a quarter or a nickel if I have 3 quarters, 2 dimes, 5 nickels, and 12 pennies.
What is 4/11 or 36.4% ?
300
The probability of landing in the shaded region below
What is 1/9 or 11.1% ?
400
The number of codes that could be made up if I need 2 letters followed by 3 digits and I can NOT repeat digits and letters.
What is 468,000 ways?
400
10P2
What is 90?
400
The number of ways you choose a manager and assistant from a 9-person task force.
What is 72 ways?
400

The probability of rolling a sum of 5 when rolling 2 number cubes.

What is 1/9 or 11.1% ?

400

The probability of landing in the shaded region below. (small radius = 7, large radius = 14)

What is 3/4 or 75% ?

500

The letters M,A,T, and H are written on wooden tiles.  How many letter arrangements could you make using all 4 tiles?

What is 24 ways?

500
5C3
What is 10?
500
The number of ways you can choose 5 girls from a classroom of 10 girls and 8 boys.
What is 252 ways?
500

The probability of rolling a sum of 6 when rolling two number cubes.

What is 5/36 or 13.9% ?

500

Probability as a percent of drawing a king or a heart card when randomly drawing 1 card from a standard deck of 52 cards.

What is 30.8%?