Probability Powerplay

Level 6, 2026-10-09

There are 30 balls in a bag. This is is the probability distribution of their color:


0.1	0.9
red	pink
Color

How many pink balls were in the bag?

[1]

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

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

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

[2]

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

girls
Sandwiches	0	3
	1
	2
	3	3

What fraction of the girls eat exactly 0 Sandwiches in a week?

[2]

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

humans
Time	13	3
	14	1
	15
	16	3
	17	6

What is the probability of the humans to run 100m in more than 15s?

[2]

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

Time	dogs
13	5
14	5
15	1
16	6
17	3

What fraction of the dogs run 100m in exactly 17s?

[2]

You shoot an arrow at a target. You will either score 10 (50% chance), 40 (20% chance), or 60. What average score do you expect to get if you do this many times?

[1]

You flip a coin and roll a 6 sided die.
What is the probability of getting a 5 or a 1 and a head or a tail?

[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]

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

boys
Score	0
	1	2
	2
	3	1
	4	2
	5

What fraction of the boys score more than 5?

[2]

Roll 30 6-sided dice.
How many times would you expect to get more than or equal to 2?

[1]

A bag has 2 red balls, 10 blue balls and 2 yellow balls. You take out a red ball, then a yellow ball, then another ball.
What is the probability of getting yellow for the last ball?

[1]

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

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

What is the probability of the people to score less than 0?

[2]

A bag has 9 balls with numbers from 4 to 12. You take out 1 ball.
What is the probability of NOT getting the ball with the number 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:


	0.2	0.2	0.25	0.35
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 1?

[1]