Probability Powerplay

Level 6, 2026-06-17

There are 10 balls in a bag. This is is the probability distribution of their color:


0.4	0.2	0.4
purple	red	green
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:


0.45		0.1	0.2	0.25
1	2	3	4	5
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:


0.5	0.5
blue	yellow
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:


0.1	0.9
red	blue
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
Score	0	6
	1
	2	2
	3	5
	4	4
	5	1

What fraction of the dogs score less than 2?

[2]

A group of humans were timed running 100m. Here are the results:

humans
Time	13	1
	14	3
	15	4
	16	3
	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
Time	13	3
	14	5
	15	5
	16	6
	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
2	6	2	5	1
13	14	15	16	17
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
	4	3
0	1	2	3
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
Time	13	5
	14	1
	15	5
	16	3
	17	1

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:


0.1	0.9
red	green
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]