Probability Powerplay
Level 6, 2026-10-22
Flip a coin 18 times.
Each time a head comes up you win $1 and with each tail you lose $2. How much money would you expect to make altogether?
[1]
Roll 6 6-sided dice.
How many times would you expect to get more than or equal to 2?
[1]
We asked a group of humans how many Burgers they eat in a week. Here are the results:
humans

Burgers02
15
25
35

What fraction of the humans eat exactly 0 Burgers in a week?
[2]
Roll 90 6-sided dice.
How many times would you expect to get less than or equal to 5?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 10, a 50% 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]
Roll 90 6-sided dice.
How many times would you expect to get an ugly number?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than or equal to 4?
[1]
A group of people were timed running 100m. Here are the results:
people

Time132
141
155
16
175

What is the probability of the people to run 100m in exactly 17s?
[2]
The weather forecast says that the chances of rain are 20%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 90%.
What is the probability of getting wet today?
[1]
Roll 42 6-sided dice.
How many times would you expect to get less than 2?
[1]
A group of kids were timed running 100m. Here are the results:
kids

64521
1314151617
Time

What fraction of the kids run 100m in exactly 13s?
[2]
A bag has 6 balls with number 2 and 8 balls with a number 6. What will be the average of the numbers of the balls taken out of the bag
[1]
A group of kids did a math test and here are their scores out of 5:
Scorekids
00
10
24
32
42
56

What fraction of the kids score less than 2?
[2]
An obstacle course has 1 Fences and 2 Ditches. You have a 50% chance of clearing a Fence and a 80% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Roll 6 6-sided dice.
How many times would you expect to get more than or equal to 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:


0.20.20.050.55
12345
Number

What is the probability of rolling a number from 1 to 3?
[1]