Probability Powerplay

Level 6, 2026-10-25

A bag has 4 balls with number 6 and 8 balls with a number 3. You take out 1 ball.
What is the probability of getting the ball with the number 6?

[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:


	0.2	0.1	0.2	0.5
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 5?

[1]

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

people
Icecreams	0	2
	1	6
	2	6
	3	2

What is the probability of the people to eat more than 2 Icecreams in a month?

[2]

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

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

What fraction of the people score exactly 2?

[2]

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


0.25	0.75
orange	pink
Color

How many orange balls were in the bag?

[1]

You shoot an arrow at a target. There is a 50% chance of scoring a 20, a 20% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?

[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:


0.65	0.05	0.05	0.1	0.15
1	2	3	4	5
Number

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

[1]

A wheel has 12 sections, each has a reward in dollars, from $1 through to $12.
What prize do we expect to get if we spin the wheel?

[1]

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

kids
5	5	1	5
0	1	2	3
Burgers

What is the probability of the kids to eat exactly 3 Burgers in a week?

[2]

There are 50 balls in a bag. This is is the probability distribution of their color:


0.4	0.5	0.1
green	orange	yellow
Color

How many orange balls were in the bag?

[1]

You shoot an arrow at a target. There is a 50% chance of scoring a 10, a 20% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?

[1]

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

Time	dogs
13	1
14	1
15	4
16	2
17	1

What fraction of the dogs run 100m in more than 13s?

[2]

Roll 54 6-sided dice.
How many times would you expect to get anything except 6?

[1]

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

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

What is the probability of the girls to score exactly 3?

[2]

Roll 120 6-sided dice.
How many times would you expect to get less than or equal to 3?

[1]