Probability Powerplay
Level 6, 2026-11-06
There are 90 balls in a bag. This is is the probability distribution of their color:


0.10.9
greenpink
Color

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

1635
0123
Burgers

What fraction of the humans eat exactly 0 Burgers in a month?
[2]
A wheel has 9 sections, each has a reward in dollars, from $1 through to $9.
What prize do we expect to get if we spin the wheel?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 20, a 30% chance of scoring a 40, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
A group of humans were timed running 100m. Here are the results:
Timehumans
136
140
156
163
171

What is the probability of the humans to run 100m in more than 13s?
[2]
Flip a coin 6 times.
Each time a head comes up you win $3 and with each tail you lose $3. It costs $5 to play (paid once). How much money would you expect to make altogether?
[1]
There are 2 balls in a bag. This is is the probability distribution of their color:


0.50.5
pinkblue
Color

How many blue balls were in the bag?
[1]
Roll 126 6-sided dice.
How many times would you expect to get less than 5?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 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:


0.20.8
12345
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 5?
[1]
You flip a coin and roll a 8 sided die.
What is the probability of getting a 4 and a head?
[1]
Roll 30 6-sided dice.
How many times would you expect to get 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:


0.450.10.250.2
12345
Number

What is the probability of rolling a 4?
[1]
A bag has 8 balls with number 6 and 3 balls with a number 1. You take out 1 ball.
What is the probability of getting the ball with the number 6?
[1]
We asked a group of dogs how many Sandwiches they eat in a month. Here are the results:
Sandwichesdogs
06
14
20
31

What is the probability of the dogs to eat less than 3 Sandwiches in a month?
[2]
A group of dogs did a math test and here are their scores out of 5:
dogs

Score01
11
22
36
42
51

What fraction of the dogs score more than 1?
[2]