Probability Powerplay
Level 6, 2026-08-23
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:


0.30.10.250.250.1
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
A group of people were timed running 100m. Here are the results:
people

5222
1314151617
Time

What is the probability of the people to run 100m in exactly 13s?
[2]
There are 4 balls in a bag. This is is the probability distribution of their color:


0.50.5
orangered
Color

How many orange balls were in the bag?
[1]
A group of dogs were timed running 100m. Here are the results:
Timedogs
133
141
154
160
176

What fraction of the dogs run 100m in more than 14s?
[2]
Roll 18 6-sided dice.
How many times would you expect to get more than or equal to 4?
[1]
We asked a group of boys how many Pizzas they eat in a day. Here are the results:
boys

Pizzas01
16
21
3

What is the probability of the boys to eat less than 1 Pizzas in a day?
[2]
A bag has 6 balls with number 4 and 9 balls with a number 3. What will be the average of the numbers of the balls taken out of the bag
[1]
Flip a coin 6 times.
Each time a head comes up you win $3 and with each tail you lose $1. It costs $8 to play (paid once). How much money would you expect to make altogether?
[1]
There are 15 balls in a bag. This is is the probability distribution of their color:


0.20.8
redgreen
Color

How many green balls were in the bag?
[1]
We asked a group of kids how many Burgers they eat in a month. Here are the results:
Burgerskids
05
12
26
32

What fraction of the kids eat less than 0 Burgers in a month?
[2]
Roll 30 6-sided dice.
How many times would you expect to get an odd number?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 20 and a 30% 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]
You shoot an arrow at a target. There is a 60% chance of scoring a 20, a 10% 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 wheel has 7 sections, each has a reward in dollars, from $1 through to $7.
What prize do we expect to get if we spin the wheel?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

2153
1314151617
Time

What is the probability of the dogs to run 100m in less than 15s?
[2]