Probability Powerplay
Level 6, 2026-04-15
The chances of feeling like icecream are 60%. The chances of being near an icecream store are 80%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]
We asked a group of humans how many Hot dogs they eat in a month. Here are the results:
humans

Hot dogs03
14
23
33

What fraction of the humans eat exactly 2 Hot dogs in a month?
[2]
A group of people were timed running 100m. Here are the results:
people

642
1314151617
Time

What fraction of the people run 100m in less than 17s?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
yellowpink
Color

Probability of Type

0.20.8
sedanwagon
Type

What is the probability of a car being a yellow sedan?
[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:


0.250.10.20.45
12345
Number

What is the probability of rolling a number that is bigger than 3?
[1]
There are 120 balls in a bag. This is is the probability distribution of their color:


0.10.9
orangepurple
Color

How many purple balls were in the bag?
[1]
Roll 102 6-sided dice.
How many times would you expect to get an even number?
[1]
The weather forecast says that the chances of rain are 50%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 50%.
What is the probability of getting wet today?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.10.9
yellowgreen
Color

How many yellow balls were in the bag?
[1]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 90%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

51551
012345
Score

What fraction of the dogs score less than 5?
[2]
A group of girls did a math test and here are their scores out of 5:
girls

Score06
16
23
3
46
53

What fraction of the girls score exactly 0?
[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:


0.50.250.150.1
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
Flip a coin 18 times.
Each time a head comes up you win $1 and with each tail you lose $3. It costs $36 to play (paid once). How much money would you expect to make altogether?
[1]
You flip a coin and roll a 9 sided die.
What is the probability of getting a 6 and a head?
[1]