Probability
Counting
Grab Bag
100

All probabilities must be between 0 and this number. Hint: It's the loneliest number.

What is 1?

100

This is the number of unique letters in the word "probability".

What is nine?

100

The current Secretary of Education, Betsy DeVos, is a big proponent of this kind of system where each family gets to choose which school to send their school to. Hint: It's 7 letters and has "OUCH" in it.

What is a voucher system?

200

This is the probability of drawing an Ace or a King in a random draw from a deck of cards.

What is 2/13?

200

This musical group has released hits such as "Mr. Jones", "Colorblind", "Accidentally in Love", and "Big Yellow Taxi". Part of their name is "Counting" and the other part is a type of bird.

Who are Counting Crows?

200

This is the probability of drawing a 5 from a deck of cards, given that the card you draw will be a Heart.

What is 1/13?

300

This is the probability of rolling double 5s when rolling a pair of dice.

What is 1/36?

300

Using only the digits in {1, 2, 3, 5} (possibly more than once), this is the amount of even numbers in the 3,000s that you can form.

What is 16?

300

Four of the students in our class of 30 students are computer science majors. If we randomly choose a student from the class, this is the probability that they are NOT a computer science major.

What is 26/30, or about .87?

400

When selecting a State at random, the probability that it will start with 'M' is .16. Score 100 points for naming five states that start with M, and an additional 100 points for each one beyond that.

What are Maine, Massachusetts, Mississippi, Missouri, Maryland, Montana, Michigan, and Minnesota?

400

12 of the 20 students in our class are first-year students. This is the number of ways we could choose 3 first-year students to be on a discussion panel (no difference in their roles).

What is C(12,3)? (or 220)

400

When rolling two dice, this is the probability you will have exactly one 5 showing on the dice, given that the sum is 6.

What is 2/5?

500

This is the probability that a randomly-chosen three-digit number (100-999) will have the same first two digits.

What is 1/10?

500

Justice and Monica attend a movie with three of their friends, but have a big fight on the way there. When they arrive, there is only one row of five seats left. This is the number of ways they can be seated so that Roscoe (one of the three friends) is seated somewhere between Justice and Monica.

What is 40? (20 where Justice is to the left of Roscoe, and 20 where he is to the right.)

500

This is the number of ways to rearrange the letters in the word WASHINGTON. (Note: You can give the answer in unreduced form.)

What is (10!)/2?