Probability Powerplay
Level 6, 2026-04-21
There are 10 balls in a bag. This is is the probability distribution of their color:


0.90.1
yellowpink
Color

How many yellow balls were in the bag?
[1]
A bag has 2 balls with number 7 and 6 balls with a number 2. You take out 1 ball.
What is the probability of getting the ball with the number 7?
[1]
A group of humans were timed running 100m. Here are the results:
humans

155
1314151617
Time

What is the probability of the humans to run 100m in less than 14s?
[2]
There are 4 balls in a bag. This is is the probability distribution of their color:


0.250.75
pinkblue
Color

How many pink balls were in the bag?
[1]
You shoot an arrow at a target. There is a 20% chance of scoring a 10 and a 20% chance of scoring a 30 and a 60% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.90.1
yelloworange
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:


0.150.150.150.150.4
12345
Number

What is the probability of rolling a number that is smaller than or equal to 3?
[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 5?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 50% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
We asked a group of kids how many Pillows they eat in a day. Here are the results:
kids

4342
0123
Pillows

What is the probability of the kids to eat less than 1 Pillows in a day?
[2]
A group of girls were timed running 100m. Here are the results:
Timegirls
135
142
155
160
172

What fraction of the girls run 100m in less than 13s?
[2]
A bag has 9 balls with numbers from 1 to 9. You take out 1 ball.
What is the probability of NOT getting the ball with the number 1?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

Time13
146
152
16
171

What fraction of the dogs run 100m in exactly 16s?
[2]
A group of dogs did a math test and here are their scores out of 5:
dogs

Score02
11
2
32
46
51

What is the probability of the dogs to score more than 3?
[2]
Roll 1 6-sided die.
What is the probability of getting a number smaller than 2?
[1]