Probability Powerplay
Level 6, 2026-06-17
There are 10 balls in a bag. This is is the probability distribution of their color:


0.40.20.4
purpleredgreen
Color

How many red balls were in the bag?
[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:


0.450.10.20.25
12345
Number

What is the probability of rolling a number that is bigger than 1?
[1]
The weather forecast says that the chances of rain are 70%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 80%.
What is the probability of getting wet today?
[1]
You shoot an arrow at a target. You will either score 20 (40% chance), 30 (30% chance), or 50. What average score do you expect to get if you do this many times?
[1]
There are 14 balls in a bag. This is is the probability distribution of their color:


0.50.5
blueyellow
Color

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


0.10.9
redblue
Color

How many red balls were in the bag?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

Score06
1
22
35
44
51

What fraction of the dogs score less than 2?
[2]
A group of humans were timed running 100m. Here are the results:
humans

Time131
143
154
163
17

What is the probability of the humans to run 100m in more than 16s?
[2]
A group of girls were timed running 100m. Here are the results:
girls

Time133
145
155
166
17

What is the probability of the girls to run 100m in more than 14s?
[2]
A group of dogs were timed running 100m. Here are the results:
dogs

26251
1314151617
Time

What is the probability of the dogs to run 100m in less than 16s?
[2]
We asked a group of humans how many Bananas they eat in a day. Here are the results:
humans

43
0123
Bananas

What fraction of the humans eat exactly 4 Bananas in a day?
[2]
A group of boys were timed running 100m. Here are the results:
boys

Time135
141
155
163
171

What is the probability of the boys to run 100m in less than 16s?
[2]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.10.9
redgreen
Color

How many red balls were in the bag?
[1]
A wheel has 14 sections, each has a reward in dollars, from $1 through to $14.
What prize do we expect to get if we spin the wheel?
[1]