Probability Powerplay

Level 6, 2026-10-13

Roll 72 6-sided dice.
How many times would you expect to get a number less than 6?

[1]

There are 44 balls in a bag. This is is the probability distribution of their color:


0.75	0.25
purple	yellow
Color

How many yellow balls were in the bag?

[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:


0.6	0.2		0.1	0.1
1	2	3	4	5
Number

What is the probability of rolling a number that is smaller than or equal to 2?

[1]

A bag has 8 red balls and 4 blue balls. You take out 1 ball.
What is the probability of getting a blue ball?

[1]

A bag has 10 balls with numbers from 3 to 12. You take out 1 ball.
What is the probability of NOT getting the ball with the number 3?

[1]

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

Time	dogs
13	4
14	4
15	6
16	1
17	0

What fraction of the dogs run 100m in more than 16s?

[2]

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

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

What fraction of the girls score less than 1?

[2]

Roll 144 6-sided dice.
How many times would you expect to get anything except 2?

[1]

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


0.2	0.3	0.5
yellow	purple	red
Color

How many red balls were in the bag?

[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:


0.1		0.1		0.8
1	2	3	4	5
Number

What is the probability of rolling a 3?

[1]

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


0.75	0.25
orange	green
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 more than 3?

[1]

We asked a group of kids how many Hot dogs they eat in a day. Here are the results:

kids
1	1	1	1
0	1	2	3
Hot dogs

What is the probability of the kids to eat exactly 3 Hot dogs in a day?

[2]

There are 12 balls in a bag. This is is the probability distribution of their color:


0.5	0.5
purple	red
Color

How many purple balls were in the bag?

[1]

You shoot an arrow at a target. You will either score 20 (20% chance), 30 (30% chance), or 60. What average score do you expect to get if you do this many times?

[1]

A bag has 6 balls with numbers from 1 to 6. You take out 1 ball.
What is the probability of NOT getting the ball with the number 3?

[1]

You roll a 6 sided die and a 9 sided die.
What is the probability of getting 2 on both dice?

[1]