Probability Powerplay
Level 6, 2026-08-08
There are 60 balls in a bag. This is is the probability distribution of their color:


0.30.40.3
yellowredpink
Color

If you choose a random ball from the bag, what is the probability of it being pink?
[1]
A group of dogs were timed running 100m. Here are the results:
Timedogs
136
143
153
163
176

What fraction of the dogs run 100m in more than 16s?
[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:


0.150.85
12345
Number

What is the probability of rolling a number that is bigger than 2?
[1]
Roll 72 6-sided dice.
How many times would you expect to get more than 3?
[1]
The weather forecast says that the chances of rain are 60%. Your chance of being outside today is 40%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?
[1]
Roll 36 6-sided dice.
How many times would you expect to get more than or equal to 6?
[1]
We asked a group of kids how many Burgers they eat in a month. Here are the results:
Burgerskids
01
13
23
35

What fraction of the kids eat exactly 4 Burgers in a month?
[2]
A group of humans were timed running 100m. Here are the results:
humans

Time131
142
156
16
171

What fraction of the humans run 100m in exactly 16s?
[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:


0.650.20.15
12345
Number

What is the probability of rolling a number from 4 to 5?
[1]
You shoot an arrow at a target. You will either score 10 (30% chance), 40 (30% chance), or 60. What average score do you expect to get if you do this many times?
[1]
Flip a coin 10 times.
Each time a head comes up you win $3 and with each tail you lose $2. It costs $4 to play (paid once). How much money would you expect to make altogether?
[1]
Roll 144 6-sided dice.
How many times would you expect to get less than 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:


0.150.10.10.65
12345
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 5?
[1]
A group of people were timed running 100m. Here are the results:
people

Time134
142
151
164
174

What fraction of the people run 100m in less than 15s?
[2]
You shoot an arrow at a target. You will either score 20 (20% chance), 40 (40% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A bag has 4 balls with number 2 and 3 balls with a number 7. What will be the average of the numbers of the balls taken out of the bag
[1]