Probability Powerplay

Level 6, 2026-06-25

There are 25 balls in a bag. This is is the probability distribution of their color:


0.2	0.8
blue	orange
Color

How many blue balls were in the bag?

[1]

You flip a coin and roll a 6 sided die.
What is the probability of getting a 4 and a tail?

[1]

Roll 12 6-sided dice.
How many times would you expect to get more than 1?

[1]

The weather forecast says that the chances of rain are 70%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 60%.
What is the probability of getting wet today?

[1]

A bag has 4 red balls and 2 blue balls. You take out a blue ball, then a blue 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:

people
Score	0	5
	1
	2
	3	2
	4
	5

What fraction of the people score exactly 3?

[2]

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

humans
Time	13
	14	1
	15	1
	16	6
	17	6

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

[2]

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

Peaches	girls
0	2
1	3
2	3
3	3

What is the probability of the girls to eat exactly 2 Peaches in a week?

[2]

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

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

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

[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:


0.1	0.1	0.15	0.15	0.5
1	2	3	4	5
Number

What is the probability of rolling 1 or 4?

[1]

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

Probability of Color
0.3	0.7
orange	pink
Color

Probability of Type
0.8	0.2
sedan	wagon
Type

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

[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:


0.1		0.1	0.1	0.7
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 5?

[1]

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

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

What fraction of the people score more than 0?

[2]

Roll 1 6-sided die.
What is the probability of getting a 1?

[1]