Probability Powerplay
Level 6, 2026-06-07
There are 40 balls in a bag. This is is the probability distribution of their color:


0.50.5
bluepinkorange
Color

How many blue balls were in the bag?
[1]
The chances of feeling like icecream are 90%. The chances of being near an icecream store are 50%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.30.50.2
purpleyellowblue
Color

How many blue balls were in the bag?
[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:


0.550.20.25
12345
Number

What is the probability of rolling 2 or 3?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

Score0
12
25
31
4
55

What is the probability of the kids to score less than 4?
[2]
A group of boys were timed running 100m. Here are the results:
boys

Time132
145
156
163
171

What fraction of the boys run 100m in exactly 15s?
[2]
A group of kids did a math test and here are their scores out of 5:
kids

Score05
13
22
33
44
55

What is the probability of the kids to score more than 5?
[2]
Roll 1 6-sided die.
What is the probability of NOT getting a 4?
[1]
A group of people were timed running 100m. Here are the results:
people

3416
1314151617
Time

What is the probability of the people to run 100m in less than 17s?
[2]
An obstacle course has 2 Fences and 1 Ditches. You have a 50% chance of clearing a Fence and a 90% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
You flip a coin and roll a 3 sided die.
What is the probability of getting a 5 and a tail?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
orangepink
Color

Probability of Type

0.60.4
sedanwagon
Type

What is the probability of a car being a pink wagon?
[2]
Flip a coin 14 times.
Each time a Head comes up you win $4. How much money would you expect to make altogether?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

Score02
16
2
32
45
52

What is the probability of the kids to score exactly 3?
[2]