Probability Powerplay

Level 6, 2026-08-04

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

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

What fraction of the humans score more than 5?

[2]

Roll 144 6-sided dice.
How many times would you expect to get anything except 4?

[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:


0.65		0.15		0.2
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 5?

[1]

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

[1]

A bag has 8 balls with numbers from 3 to 10. You take out 1 ball.
What is the probability of getting a ball with a number less than 7?

[1]

The chances of feeling like icecream are 90%. The chances of being near an icecream store are 80%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?

[1]

A bag has 2 balls with number 7 and 8 balls with a number 4. You take out 1 ball.
What is the probability of getting the ball with the number 7?

[1]

You flip a coin and roll a 7 sided die.
What is the probability of getting a 5 and a head?

[1]

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

Time	dogs
13	6
14	1
15	6
16	1
17	4

What is the probability of the dogs to run 100m in exactly 14s?

[2]

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:


0.65		0.2		0.15
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 5?

[1]

You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than 6?

[1]

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

humans
Time	13	1
	14	5
	15	2
	16	3
	17

What is the probability of the humans to run 100m in more than 15s?

[2]

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

dogs
5	3	1	2	1
13	14	15	16	17
Time

What fraction of the dogs run 100m in exactly 15s?

[2]

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

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

What fraction of the kids score exactly 0?

[2]

A wheel has 9 sections, each has a reward in dollars, from $1 through to $9.
What prize do we expect to get if we spin the wheel?

[1]