Probability Powerplay

Level 6, 2026-05-25

There are 48 balls in a bag. This is is the probability distribution of their color:


0.25	0.75
orange	blue
Color

How many blue balls were in the bag?

[1]

There are 90 balls in a bag. This is is the probability distribution of their color:


0.1	0.4	0.5
green	pink	yellow
Color

How many yellow balls were in the bag?

[1]

Roll 132 6-sided dice.
How many times would you expect to get less than or equal to 3?

[1]

We asked a group of dogs how many Popsicles they eat in a day. Here are the results:

dogs
Popsicles	0	4
	1	2
	2	6
	3

What is the probability of the dogs to eat exactly 2 Popsicles in a day?

[2]

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

kids
Time	13	2
	14	2
	15	1
	16	6
	17	2

What fraction of the kids run 100m in less than 17s?

[2]

A wheel has 13 sections, each a number on it from 1 to 13. If you spin an even number you win that amount of dollars, if you spin an odd number you lose.
What prize do we expect to get if we spin the wheel?

[1]

The chances of feeling like icecream are 60%. The chances of being near an icecream store are 60%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?

[1]

We asked a group of boys how many Strawberries they eat in a week. Here are the results:

boys
Strawberries	0	2
	1	3
	2	4
	3

What is the probability of the boys to eat exactly 3 Strawberries in a week?

[2]

We asked a group of dogs how many Apples they eat in a month. Here are the results:

dogs
Apples	0	2
	1	1
	2	2
	3	5

What is the probability of the dogs to eat exactly 0 Apples in a month?

[2]

We asked a group of humans how many Strawberries they eat in a month. Here are the results:

humans
Strawberries	0	4
	1	4
	2	4
	3	4

What fraction of the humans eat less than 4 Strawberries in a month?

[2]

Flip a coin 18 times.
Each time a Head comes up you win $1. How much money would you expect to make altogether?

[1]

We asked a group of humans how many Icecreams they eat in a month. Here are the results:

Icecreams	humans
0	1
1	2
2	0
3	6

What fraction of the humans eat exactly 2 Icecreams in a month?

[2]

We asked a group of boys how many Bowls of Ramen they eat in a month. Here are the results:

Bowls of Ramen	boys
0	6
1	4
2	5
3	4

What fraction of the boys eat more than 0 Bowls of Ramen in a month?

[2]