Probability Powerplay

Level 6, 2025-12-24

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


0.7		0.3
green	yellow	pink
Color

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

[1]

Roll a die 36 times.
How many times would you expect to get a 4?

[1]

Roll 138 6-sided dice.
How many times would you expect to get an ugly number?

[1]

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

boys
Strawberries	0	2
	1	1
	2	2
	3	3

What fraction of the boys eat less than 4 Strawberries in a week?

[2]

There are 60 balls in a bag. This is is the probability distribution of their color:


0.3	0.3	0.4
pink	green	blue
Color

If you choose a random ball from the bag, what is the probability of it being green?

[1]

There are 20 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 red balls were in the bag?

[1]

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

girls
Time	13	6
	14	5
	15	5
	16	4
	17

What is the probability of the girls to run 100m in exactly 15s?

[2]

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

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

What is the probability of the dogs to score less than 3?

[2]

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


0.75	0.05			0.2
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 2?

[1]

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

boys
Score	0	3
	1	2
	2	2
	3	2
	4	3
	5	2

What is the probability of the boys to score less than 3?

[2]

Roll 60 6-sided dice.
How many times would you expect to get less than 5?

[1]

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

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

What fraction of the humans score less than 1?

[2]

A wheel has 8 sections, each a different color.
What is the probability of getting green?

[1]

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

[1]