Basic Probability
Probability with Tables
Counting Techniques
More Probability
Miscellaneous
100

The probability of getting a 7 when drawing one card from a standard deck

What is 4/52?

100

One person is chosen at random. Find the probability the person does not use public transportation.

What is 185/266?

100

The number of different outcomes when flipping six coins

What is 64?

100

The probability a 5-card hand contains 5 red face cards

What is 6/2,598,960?

100

The expected value of the following game that costs $1 to play: Roll a die. If you roll an odd number, you win as many dollars as the number on the die. If you roll and even number, you lose.

What is $0.50?

200

The probability of rolling a single die and getting a number greater than 4

What is 2/6?

200
One person is chosen at random. Find the probability the person lives in a suburban or urban area.

What is 192/266?

200

The number of 5-topping pizzas that are possible when 19 toppings are available. 

What is 11,628?

200

The probability a 5-card hand contains exactly 2 aces

What is 103,776/2,598,960?

200

The number of license plates that can be made with three letters followed by 3 digits if repeats are not allowed

What is 11,232,000?

300

 A single card is drawn from a deck. Determine P(queen | face card)

What is 4/12?

300

One person is chosen at random. Find the probability the person drives to work or lives in a rural area.

What is 123/266?

300

The mathematical expression for the number of 7-character passwords that can be made using only lowercase letters and digits

What is 36?

300
The probability a committee of four people includes exactly one woman if there are 5 women and 7 men who are willing to serve on the committee
What is 175/495?
300

When drawing one card from a deck, 

P(king | face card)

What is 1?

400
The probability a single card drawn from a deck is red and an ace
What is 2/52?
400
One person is chosen at random. Find the probability they live in a rural area given they use public transportation.

What is 3/81?

400

The number of ways 8 people can be seated in a row of 8 chairs if Bill wants to sit on an end and Georgia wants to sit next to Bill

What is 1440?

400

From a jar of 6 red, 5 blue, and 4 yellow marbles, the probability at least 3 marbles are yellow when drawing 4 marbles at random

What is 45/1365?

400

The expected value when buying a $30 raffle ticket if 1000 tickets are sold. First prize is $1000, second prize is $500, and third prize is $250.

What is -$28.25?

500

The probability a single card drawn from a deck is black or a king

What is 28/52?

500

One person is chosen at random. 

Find P(urban | carpool).

What is 25/74?

500

The number of ways 4 math professors and 3 science professors can be selected to work at a STEM event from among a group of 12 math professors and 27 science professors

What is 1,447,875?

500
The expression used to determine the probability a 5-card contains at most 2 face cards

What is 

(12C0 * 40C5 + 12C1 * 40C4 + 12C2 * 40C3) / 52C5

500

The probability of winning the lottery if you buy one ticket. The winning number is determined by drawing 6 white balls from among white balls numbered 1-75 and then drawing one red ball from among red balls numbered 1-26. Order does not matter.

What is 1/5,235,348,300?

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