Probability Powerplay
Level 6, 2026-09-01
There are 100 balls in a bag. This is is the probability distribution of their color:


0.20.30.5
pinkbluepurple
Color

How many blue balls were in the bag?
[1]
A group of humans were timed running 100m. Here are the results:
humans

Time133
141
15
166
171

What is the probability of the humans to run 100m in exactly 15s?
[2]
A bag has 10 red balls, 3 blue balls and 6 yellow balls. You take out a red ball, then a yellow ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
Roll 2 6-sided dice.
What is the probability of getting a 4 on both dice?
[1]
A group of boys were timed running 100m. Here are the results:
boys

1163
1314151617
Time

What is the probability of the boys to run 100m in less than 17s?
[2]
There are 32 balls in a bag. This is is the probability distribution of their color:


0.750.25
purpleyellow
Color

How many yellow balls were in the bag?
[1]
You shoot an arrow at a target. You will either score 20 (10% chance), 30 (20% chance), or 60. What average score do you expect to get if you do this many times?
[1]
A group of people were timed running 100m. Here are the results:
Timepeople
132
143
155
161
172

What fraction of the people run 100m in less than 17s?
[2]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.50.40.1
yellowpurpleorange
Color

How many purple balls were in the bag?
[1]
Flip 7 coins.
What is the probability of getting 7 tails?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 6?
[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:


0.60.150.25
12345
Number

What is the probability of rolling a 4?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

154143
012345
Score

What fraction of the kids score less than 2?
[2]
Roll 48 6-sided dice.
How many times would you expect to get anything except 5?
[1]
Roll 90 6-sided dice.
How many times would you expect to get anything except 6?
[1]
There are 22 balls in a bag. This is is the probability distribution of their color:


0.50.5
yellowpink
Color

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