Probability Powerplay

Level 6, 2026-11-02

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

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

What is the probability of the kids to score less than 5?

[2]

Roll 108 6-sided dice.
How many times would you expect to get more than 4?

[1]

Roll 18 6-sided dice.
How many times would you expect to get anything except 2?

[1]

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

kids
Time	13	5
	14	1
	15	2
	16	4
	17	3

What fraction of the kids run 100m in less than 14s?

[2]

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

dogs
2	3	3	3	4
13	14	15	16	17
Time

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

[2]

An obstacle course has 2 Fences and 1 Ditches. You have a 50% chance of clearing a Fence and a 80% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?

[1]

Roll 30 6-sided dice.
How many times would you expect to get less than or equal to 6?

[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		0.05		0.15
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 2?

[1]

Roll 48 6-sided dice.
How many times would you expect to get a number less than 4?

[1]

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

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

What fraction of the dogs score exactly 1?

[2]

A bag has 6 red balls, 5 blue balls and 7 yellow balls. You take out a red ball, then a yellow ball, then another ball.
What is the probability of getting red for the last ball?

[1]

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

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

What fraction of the people score less than 5?

[2]

Flip a coin 12 times.
Each time a Tail comes up you win $4. It costs $17 to play (paid once). How much money would you expect to make altogether?

[1]

There are 80 balls in a bag. This is is the probability distribution of their color:


	0.3	0.7
yellow	purple	pink
Color

If you choose a random ball from the bag, what is the probability of it not being yellow or pink?

[1]

Roll 1 6-sided die.
What is the probability of getting a number smaller than or equal to 4?

[1]