Probability Powerplay
Level 6, 2026-08-28
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:


0.650.20.050.1
12345
Number

What is the probability of rolling a number that is bigger than or equal to 3?
[1]
A bag has 2 red balls and 6 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 roll a 9 sided die and a 6 sided die.
What is the probability of getting 1 on both dice?
[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:


0.10.050.250.6
12345
Number

What is the probability of rolling a number that is bigger than 3?
[1]
Roll 120 6-sided dice.
How many times would you expect to get less than or equal to 3?
[1]
A group of kids were timed running 100m. Here are the results:
Timekids
132
141
156
163
175

What fraction of the kids run 100m in exactly 15s?
[2]
A group of kids were timed running 100m. Here are the results:
Timekids
135
141
155
165
171

What fraction of the kids run 100m in exactly 17s?
[2]
We asked a group of people how many Bananas they eat in a month. Here are the results:
people

3656
0123
Bananas

What fraction of the people eat exactly 0 Bananas in a month?
[2]
A group of boys did a math test and here are their scores out of 5:
Scoreboys
06
15
21
33
40
52

What is the probability of the boys to score more than 0?
[2]
A group of humans were timed running 100m. Here are the results:
humans

Time133
141
154
164
172

What fraction of the humans run 100m in exactly 15s?
[2]
You shoot an arrow at a target. You will either score 20 (50% chance), 30 (10% chance), or 60. What average score do you expect to get if you do this many times?
[1]
There are 15 balls in a bag. This is is the probability distribution of their color:


0.20.8
redgreen
Color

How many red balls were in the bag?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.90.1
purplepink
Color

How many pink balls were in the bag?
[1]
There are 2 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]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.30.40.3
purplepinkblue
Color

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