Probability Powerplay
Level 6, 2026-10-25
There are 30 balls in a bag. This is is the probability distribution of their color:


0.10.9
purplegreen
Color

How many green balls were in the bag?
[1]
An obstacle course has 2 Fences and 1 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]
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:


0.60.10.20.1
12345
Number

What is the probability of rolling a number that is smaller than or equal to 4?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
orangered
Color

Probability of Type

0.40.6
wagonsedan
Type

What is the probability of a car being a red wagon?
[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:


0.850.050.1
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 1?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

423
1314151617
Time

What fraction of the dogs run 100m in exactly 17s?
[2]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.90.1
yellowgreen
Color

How many yellow balls were in the bag?
[1]
Roll a die 18 times.
How many times would you expect to get a 2?
[1]
You flip a coin and roll a 8 sided die.
What is the probability of getting a 4 and a head?
[1]
We asked a group of people how many Pizzas they eat in a month. Here are the results:
people

2415
0123
Pizzas

What is the probability of the people to eat exactly 2 Pizzas in a month?
[2]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.40.30.3
pinkredgreen
Color

If you choose a random ball from the bag, what is the probability of it being green or pink?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.60.4
orangepurplegreen
Color

How many orange balls were in the bag?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.90.1
greenblue
Color

How many blue balls were in the bag?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
03
15
21
32
44
50

What is the probability of the dogs to score exactly 0?
[2]
A group of boys were timed running 100m. Here are the results:
boys

413
1314151617
Time

What is the probability of the boys to run 100m in exactly 14s?
[2]