Probability Powerplay

Level 6, 2026-08-24

A bag has 6 red balls, 2 blue balls and 10 yellow balls. You take out a blue ball, then a yellow ball, then another ball.
What is the probability of getting blue for the last ball?

[1]

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

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

What fraction of the humans score less than 1?

[2]

You flip a coin and roll a 6 sided die.
What is the probability of getting a number less than 5 and a tail?

[1]

There are 10 balls in a bag. This is is the probability distribution of their color:


0.9		0.1
pink	purple	red
Color

How many red balls were in the bag?

[1]

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

people
Time	13	2
	14	3
	15	4
	16	2
	17	6

What fraction of the people run 100m in less than 16s?

[2]

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

Time	kids
13	0
14	4
15	3
16	1
17	5

What fraction of the kids run 100m in more than 17s?

[2]

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

people
4	3	4	5	2
13	14	15	16	17
Time

What fraction of the people run 100m in less than 16s?

[2]

Roll 144 6-sided dice.
How many times would you expect to get more than or equal to 5?

[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	0.2
1	2	3	4	5
Number

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

[1]

A bag has 4 red balls, 6 blue balls and 6 yellow balls. You take out a red ball, then a yellow ball, then another ball.
What is the probability of getting blue for the last ball?

[1]

A bag has 7 balls with numbers from 4 to 10. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 5?

[1]

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

Popsicles	people
0	0
1	0
2	3
3	1

What is the probability of the people to eat less than 3 Popsicles in a month?

[2]

Roll 102 6-sided dice.
How many times would you expect to get less than 5?

[1]

A bag has 6 balls with numbers from 2 to 7. You take out 1 ball.
What is the probability of getting a ball with a number more than 6?

[1]

There are 90 balls in a bag. This is is the probability distribution of their color:


0.2		0.8
red	green	yellow
Color

How many red balls were in the bag?

[1]