Probability Powerplay
Level 6, 2026-06-19
There are 10 balls in a bag. This is is the probability distribution of their color:


0.10.9
yellowbluered
Color

How many yellow balls were in the bag?
[1]
A bag has 2 red balls and 2 blue balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.80.2
greenorangered
Color

How many green balls were in the bag?
[1]
A bag has 6 balls with numbers from 3 to 8. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 5?
[1]
A Crazy Die has 5 sides, but each side has a different probability of being rolled. This is is the probability distribution of the sides being rolled:


0.10.150.150.20.4
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 4?
[1]
A Crazy Die has 5 sides, but each side has a different probability of being rolled. This is is the probability distribution of the sides being rolled:


0.20.050.20.55
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]
A Crazy Die has 5 sides, but each side has a different probability of being rolled. This is is the probability distribution of the sides being rolled:


0.80.050.10.05
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 3?
[1]
Roll 120 6-sided dice.
How many times would you expect to get an ugly number?
[1]
Roll 30 6-sided dice.
How many times would you expect to get more than 1?
[1]
A Crazy Die has 5 sides, but each side has a different probability of being rolled. This is is the probability distribution of the sides being rolled:


0.050.250.250.250.2
12345
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 3?
[1]
We asked a group of humans how many Pizzas they eat in a day. Here are the results:
Pizzashumans
06
13
23
31

What fraction of the humans eat exactly 4 Pizzas in a day?
[2]
There are 6 balls in a bag. This is is the probability distribution of their color:


0.50.5
yellowblue
Color

How many blue balls were in the bag?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are less than 5?
[1]
You shoot an arrow at a target. There is a 20% chance of scoring a 20 and a 40% chance of scoring a 40 and a 40% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 10, a 30% chance of scoring a 40, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 50% chance of clearing a Fence and a 90% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A group of boys did a math test and here are their scores out of 5:
Scoreboys
02
15
25
30
43
53

What fraction of the boys score less than 5?
[2]
Roll 12 6-sided dice.
How many times would you expect to get an odd number?
[1]