Probability Powerplay

Level 6, 2026-06-15

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

boys
6	3	4	4
0	1	2	3
Pizzas

What is the probability of the boys to eat exactly 3 Pizzas in a month?

[2]

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

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

What is the probability of the kids to run 100m in exactly 17s?

[2]

Roll 114 6-sided dice.
How many times would you expect to get less than 4?

[1]

Flip a coin 4 times.
How many times would you expect to get Heads?

[1]

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

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

What fraction of the humans score exactly 0?

[2]

There are 35 balls in a bag. This is is the probability distribution of their color:


0.2	0.8
pink	purple
Color

How many purple balls were in the bag?

[1]

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

Score	girls
0	2
1	5
2	2
3	3
4	1
5	5

What fraction of the girls score more than 3?

[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:


	0.15		0.15	0.7
1	2	3	4	5
Number

What is the probability of rolling a number from 2 to 4?

[1]

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


0.5	0.4	0.1
blue	red	orange
Color

How many orange balls were in the bag?

[1]

Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are less than 5?

[1]

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

[1]

Cars go by on a road, each is a different color and type.

Probability of Color
0.9	0.1
blue	orange
Color

Probability of Type
0.8	0.2
sedan	wagon
Type

What is the probability of a car being a orange wagon?

[2]

The chances of feeling like icecream are 80%. 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 group of humans were timed running 100m. Here are the results:

humans
Time	13	4
	14
	15	2
	16	3
	17

What is the probability of the humans to run 100m in exactly 17s?

[2]