There is a red, white, and blue (America!) marble in one bucket, and a yellow, white, and black marble in another bucket. Draw a probability model to represent all the possible outcomes of drawing a marble from each bucket.
Answers will vary.
100
What is the expected value when rolling a 10-sided die?
5.5
100
How many outcomes are possible in an 8-trial binomial probability experiment?
2^8 = 256
100
What is the 3rd entry of the 4th row?
4
100
Who won the last Super Bowl?
Denver Broncos
200
There is a red, white, and blue (America!) marble in one bucket, and a yellow, white, and black marble in another bucket. What is the probability that your marble choices will match? Use correct notation.
P(match) = 1/9
200
Steph Curry has made 10 out of 25 3-point shots during the Finals. What is his expected value on any 3-point shot?
1.2 points
200
How many ways are there to get two "Yes's" on 4 Love Notes that you send out?
6
200
How many ways are there to get 3 heads in 4 coin flips?
4
200
Who won the last World Series?
Kansas City Royals
300
A 70% free throw shooter is in a two-shot situation (guaranteed two shots). What is the probability that the shooter makes the first shot and misses the second shot?
Use correct notation.
P(make, miss) = 21%
300
Jacob owes Jack some money. They decide to settle up with probability. They flip 3 coins. If there are 2 or more tails, Jacob pays Jack $8. Otherwise Jacob pays Jack $5. How much do we expect Jacob to pay Jack, on average?
$6.50
300
In baseball, teams often play each other for 3 games in a row. Let's say the Tigers have a 75% chance to beat the Red Sox for each of 3 straight games.
What is the probability that the Red Sox win the first game, and the Tigers win the next two? Use correct notation.
P(RS, T, T) = 9/64 = 14%
300
What is the sum of the 25th row in Pascal's Triangle?
2^25 = 33,554,432
300
Who won the last FIFA World Cup?
Germany
400
On a scratch-off card with 8 spaces, what is the probability that you win (uncover the two spaces that match)?
Use correct notation.
P(win) = 1/28 = 3.6%
400
You are playing a really lame game in which you toss 5 coins. If all the coins match, you pay your friend $80. Otherwise you pay your friend $4. What is the expected amount of money you will pay your friend, on average?
$8.75
400
Two basketball teams are playing a best-of-5 series in the playoffs (first team to win 3 games wins the series). The two teams are evenly matched. Team A wins the first game of the series.
What is the probability that the series will end in 3 games? Use proper notation.
P(3 game series) = 1/4
400
What is the probability that exactly 4 out of 9 children are boys? Use correct probability notation.
P(4 out of 9) = 126/512 = 63/256
400
Who won the last Hunger Games?
Katniss Everdeen and Peeta Mellark
500
You roll a 6-sided die (1-6) and a 3-sided die (1-3). What is the probability that both numbers are even? Use proper notation.
P(both even) = 3/18 = 1/6 = 16.6%
500
Male and female goldfish are equally likely. Male goldfish sell for $2, and female goldfish sell for $5. Suppose you sell 5 random goldfish - how much money can you expect to make?
$17.50
500
Two basketball teams are playing a best-of-5 series in the playoffs (first team to win 3 games wins the series). The two teams are evenly matched. Team A wins the first game of the series. What is the probability that Team B wins the series?
Use proper notation
P(Team B) = 5/16
500
What is the 23rd entry of the 25th row of Pascal's Triangle? (Hint: use the formula)