Probability Powerplay

Level 6, 2025-12-25

Flip 3 coins.
What is the probability of getting 3 heads?

[1]

Roll 138 6-sided dice.
How many times would you expect to get less than 1?

[1]

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


		0.25	0.25	0.5
1	2	3	4	5
Number

What is the probability of rolling a number that is smaller than or equal to 1?

[1]

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

people
5	6	1	5
13	14	15	16	17
Time

What is the probability of the people to run 100m in less than 17s?

[2]

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

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

What is the probability of the people to score more than 3?

[2]

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

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

What fraction of the humans score exactly 1?

[2]

You flip a coin and roll a 6 sided die.
What is the probability of getting a number equal to 1 and a head?

[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:


0.55	0.15		0.15	0.15
1	2	3	4	5
Number

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

[1]

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

Time	kids
13	5
14	6
15	3
16	3
17	2

What is the probability of the kids to run 100m in more than 16s?

[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	0.15			0.75
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 4?

[1]

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

Pizzas	humans
0	6
1	2
2	0
3	1

What fraction of the humans eat less than 4 Pizzas in a week?

[2]

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


0.7	0.1	0.2
purple	pink	yellow
Color

How many yellow balls were in the bag?

[1]

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

[1]

Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are odd?

[1]