Probability Powerplay
Level 6, 2026-06-05
A group of people were timed running 100m. Here are the results:
Timepeople
132
141
153
160
172

What is the probability of the people to run 100m in less than 14s?
[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:


0.50.250.25
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 3?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than 5?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

264632
012345
Score

What is the probability of the kids to score exactly 1?
[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:


0.40.10.250.25
12345
Number

What is the probability of rolling a number that is smaller than 3?
[1]
You flip a coin and roll a 10 sided die.
What is the probability of getting a 2 and a head?
[1]
Roll 1 6-sided die.
What is the probability of NOT getting a 6?
[1]
We asked a group of humans how many Popsicles they eat in a month. Here are the results:
Popsicleshumans
03
10
25
31

What fraction of the humans eat less than 0 Popsicles in a month?
[2]
Flip a coin 8 times.
Each time a Tail comes up you win $4. It costs $10 to play (paid once). How much money would you expect to make altogether?
[1]
Roll 114 6-sided dice.
How many times would you expect to get more than or equal to 2?
[1]
An obstacle course has 1 Fences and 2 Ditches. You have a 90% 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]
Cars go by on a road, each is a different color and type.

Probability of Color

1
pinkgreen
Color

Probability of Type

0.40.6
wagonsedan
Type

What is the probability of a car being a green sedan?
[2]
Roll a die 60 times.
How many times would you expect to get a 5?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 1 or a 5 and a head?
[1]
A group of humans were timed running 100m. Here are the results:
humans

21114
1314151617
Time

What is the probability of the humans to run 100m in exactly 16s?
[2]