Probability Powerplay
Level 6, 2026-04-19
There are 20 balls in a bag. This is is the probability distribution of their color:


0.30.40.3
redgreenyellow
Color

How many yellow balls were in the bag?
[1]
We asked a group of girls how many Peaches they eat in a day. Here are the results:
girls

Peaches01
11
24
32

What fraction of the girls eat less than 0 Peaches in a day?
[2]
A group of dogs were timed running 100m. Here are the results:
Timedogs
133
145
156
165
171

What is the probability of the dogs to run 100m in exactly 13s?
[2]
You shoot an arrow at a target. There is a 40% chance of scoring a 10 and a 20% chance of scoring a 30 and a 40% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

Score03
13
24
31
41
55

What fraction of the kids score exactly 2?
[2]
Roll 2 6-sided dice.
You add the two numbers. What is the probability of getting 12?
[1]
Roll 1 6-sided die.
What is the probability of getting a 1?
[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:


0.20.150.150.5
12345
Number

What is the probability of rolling 1 or 2?
[1]
A wheel has 11 sections, each a number on it from 1 to 11. If you spin an odd number you win that amount of dollars, if you spin an even number you lose.
What prize do we expect to get if we spin the wheel?
[1]
We asked a group of humans how many Chocolates they eat in a day. Here are the results:
Chocolateshumans
05
13
25
30

What fraction of the humans eat exactly 3 Chocolates in a day?
[2]
A group of humans did a math test and here are their scores out of 5:
humans

341114
012345
Score

What fraction of the humans score more than 1?
[2]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than 4?
[1]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 90%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]
A wheel has 8 sections, each a number on it from 1 to 8. If you spin an even number you win that amount of dollars, if you spin an odd number you lose.
What prize do we expect to get if we spin the wheel?
[1]
An obstacle course has 1 Fences and 1 Ditches. You have a 90% 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]