Probability Powerplay

Level 6, 2026-10-21

A bag has 4 balls with numbers from 2 to 5. You take out 1 ball.
What is the probability of NOT getting a ball with a number 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:


0.9		0.05	0.05
1	2	3	4	5
Number

What is the probability of rolling 4 or 5?

[1]

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

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

What fraction of the dogs score more than 5?

[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:


0.05				0.95
1	2	3	4	5
Number

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

[1]

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

[1]

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


	0.5	0.5
yellow	purple	pink
Color

How many yellow balls were in the bag?

[1]

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

Time	girls
13	5
14	3
15	0
16	3
17	2

What fraction of the girls run 100m in exactly 16s?

[2]

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

humans
Oranges	0
	1	2
	2	1
	3	6

What fraction of the humans eat exactly 0 Oranges in a month?

[2]

A bag has 9 balls with numbers from 4 to 12. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 10?

[1]

There are 40 balls in a bag. This is is the probability distribution of their color:


0.6		0.4
pink	red	blue
Color

How many red balls were in the bag?

[1]

A bag has 3 balls with number 3 and 7 balls with a number 2. What will be the average of the numbers of the balls taken out of the bag

[1]

You shoot an arrow at a target. You will either score 10 (50% chance), 30 (10% 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 number more than 6 and a tail?

[1]

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


0.1	0.3	0.6
blue	pink	yellow
Color

If you choose a random ball from the bag, what is the probability of it being pink?

[1]

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

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

What is the probability of the people to score more than 2?

[2]