Probability Powerplay
Level 6, 2026-09-24
An obstacle course has 1 Fences and 1 Ditches. You have a 80% chance of clearing a Fence and a 90% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A wheel has 7 yellow sections and 6 purple sections.
What is the probability of getting yellow?
[1]
There are 55 balls in a bag. This is is the probability distribution of their color:


0.20.8
orangered
Color

How many red balls were in the bag?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 10, a 30% chance of scoring a 50, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[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:


0.050.250.050.65
12345
Number

What is the probability of rolling a number that is smaller than or equal to 1?
[1]
A group of humans were timed running 100m. Here are the results:
humans

Time131
146
15
166
176

What fraction of the humans run 100m in exactly 14s?
[2]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.250.75
purpleblue
Color

How many blue balls were in the bag?
[1]
You shoot an arrow at a target. There is a 20% chance of scoring a 10 and a 40% chance of scoring a 40 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 dogs were timed running 100m. Here are the results:
dogs

62136
1314151617
Time

What is the probability of the dogs to run 100m in exactly 17s?
[2]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
02
10
22
30
42
51

What is the probability of the humans to score less than 2?
[2]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.10.9
bluered
Color

How many red balls were in the bag?
[1]
We asked a group of humans how many Oranges they eat in a week. Here are the results:
humans

Oranges02
12
23
33

What fraction of the humans eat exactly 2 Oranges in a week?
[2]
A group of people were timed running 100m. Here are the results:
Timepeople
134
143
151
163
176

What is the probability of the people to run 100m in exactly 13s?
[2]
Flip a coin 10 times.
Each time a Tail comes up you win $1. It costs $10 to play (paid once). How much money would you expect to make altogether?
[1]
Roll 120 6-sided dice.
How many times would you expect to get more than or equal to 6?
[1]