Probability Powerplay

Level 6, 2026-05-28

Roll 24 6-sided dice.
How many times would you expect to get an even number?

[1]

There are 5 balls in a bag. This is is the probability distribution of their color:


0.8	0.2
orange	red
Color

How many orange balls were in the bag?

[1]

A wheel has 9 sections, each a number on it from 1 to 9. If you spin an odd number you win that amount of dollars, if you spin an even number you lose.
What prize do we expect to get if we spin the wheel?

[1]

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

[1]

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

dogs
Time	13	6
	14	3
	15	2
	16
	17	1

What is the probability of the dogs to run 100m in less than 13s?

[2]

You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than 4?

[1]

There are 30 balls in a bag. This is is the probability distribution of their color:


0.2	0.8
purple	red
Color

How many purple balls were in the bag?

[1]

There are 20 balls in a bag. This is is the probability distribution of their color:


0.3	0.1	0.6
purple	green	pink
Color

How many green 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:


0.8	0.1	0.05	0.05
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 4?

[1]

There are 15 balls in a bag. This is is the probability distribution of their color:


0.8	0.2
purple	green
Color

How many purple balls were in the bag?

[1]

A group of dogs did a math test and here are their scores out of 5:

Score	dogs
0	1
1	0
2	5
3	6
4	1
5	0

What fraction of the dogs score less than 0?

[2]

A group of humans did a math test and here are their scores out of 5:

humans
Score	0	5
	1	2
	2	4
	3	5
	4	1
	5	5

What fraction of the humans score less than 2?

[2]

A bag has 9 balls with number 8 and 6 balls with a number 8. What will be the average of the numbers of the balls taken out of 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:


0.1	0.2	0.2	0.1	0.4
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than or equal to 1?

[1]

Roll 126 6-sided dice.
How many times would you expect to get a number less than 5?

[1]

Roll 1 6-sided die.
What is the probability of getting a number bigger than 4?

[1]

You shoot an arrow at a target. There is a 60% chance of scoring a 10, a 30% chance of scoring a 50, or you might miss completely and score 0. What average score do you expect to get if you do this many times?

[1]