Probability Powerplay
Level 6, 2026-02-19
There are 15 balls in a bag. This is is the probability distribution of their color:


0.80.2
redorange
Color

How many red balls were in the bag?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are more than 3?
[1]
You flip a coin and roll a 3 sided die.
What is the probability of getting a 2 and a head?
[1]
A bag has 5 red balls and 10 blue balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
You flip a coin and roll a 10 sided die.
What is the probability of getting a 2 and a head?
[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:


0.050.050.250.65
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 2?
[1]
A bag has 7 red balls, 5 blue balls and 3 yellow balls. You take out a yellow ball, then a yellow ball, then another ball.
What is the probability of getting yellow for the last ball?
[1]
A bag has 2 balls with number 1 and 4 balls with a number 1. You take out 1 ball.
What is the probability of getting the ball with the number 1?
[1]
You shoot an arrow at a target. There is a 80% chance of scoring a 20 and a 20% chance of scoring a 40. What average score do you expect to get if you do this many times?
[1]
There are 120 balls in a bag. This is is the probability distribution of their color:


0.90.1
purplegreen
Color

How many purple balls were in the bag?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.50.10.4
pinkpurplegreen
Color

How many pink balls were in the bag?
[1]
A bag has 10 red balls, 6 blue balls and 5 yellow balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
Roll 1 6-sided die.
What is the probability of getting an even number?
[1]
A group of humans were timed running 100m. Here are the results:
humans

Time133
146
152
164
176

What fraction of the humans run 100m in more than 17s?
[2]
Roll 36 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:


0.10.150.050.050.65
12345
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 4?
[1]
A bag has 3 balls with numbers from 4 to 6. You take out 1 ball.
What is the probability of getting the ball with the number 6?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are less than 5?
[1]
There are 24 balls in a bag. This is is the probability distribution of their color:


0.50.5
orangepink
Color

How many pink balls were in the bag?
[1]