Probability Powerplay

Level 6, 2026-06-26

There are 100 balls in a bag. This is is the probability distribution of their color:


0.5		0.5
yellow	purple	orange
Color

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

[1]

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

[1]

A bag has 2 balls with number 3 and 5 balls with a number 7. You take out 1 ball.
What is the probability of getting the ball with the number 3?

[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		0.1	0.05	0.1
1	2	3	4	5
Number

What is the probability of rolling a 3?

[1]

There are 16 balls in a bag. This is is the probability distribution of their color:


0.5	0.5
purple	red
Color

How many red balls were in the bag?

[1]

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

humans
Pizzas	0	3
	1	4
	2	1
	3	4

What is the probability of the humans to eat exactly 1 Pizzas in a month?

[2]

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

kids
1		2		6
0	1	2	3	4	5
Score

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

[2]

Roll 2 6-sided dice.
You add the two numbers. What is the probability of getting 12?

[1]

Flip a coin 2 times.
Each time a head comes up you win $4 and with each tail you lose $3. How much money would you expect to make altogether?

[1]

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

girls
Time	13
	14	6
	15	2
	16	6
	17	4

What is the probability of the girls to run 100m in less than 14s?

[2]

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


	0.3	0.7
orange	yellow	blue
Color

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

[1]

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

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

What fraction of the girls score exactly 4?

[2]

A bag has 4 balls with numbers from 2 to 5. You take out 1 ball.
What is the probability of NOT getting the ball with the number 3?

[1]

Roll 84 6-sided dice.
How many times would you expect to get a number less than 0?

[1]

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

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

What is the probability of the boys to score more than 4?

[2]