Probability Powerplay
Level 6, 2026-01-23
A group of humans were timed running 100m. Here are the results:
humans

14366
1314151617
Time

What is the probability of the humans to run 100m in more than 13s?
[2]
The weather forecast says that the chances of rain are 20%. Your chance of being outside today is 80%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?
[1]
There are 22 balls in a bag. This is is the probability distribution of their color:


0.50.5
purpleblue
Color

How many purple balls were in the bag?
[1]
We asked a group of humans how many Chocolates they eat in a day. Here are the results:
humans

Chocolates01
11
24
34

What fraction of the humans eat exactly 0 Chocolates in a day?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
greenred
Color

Probability of Type

0.10.9
wagonsedan
Type

What is the probability of a car being a green wagon?
[2]
A group of girls were timed running 100m. Here are the results:
girls

2115
1314151617
Time

What fraction of the girls run 100m in exactly 14s?
[2]
A bag has 6 balls with number 4 and 5 balls with a number 3. What will be the average of the numbers of the balls taken out of the bag
[1]
Flip a coin 6 times.
Each time a head comes up you win $4 and with each tail you lose $1. It costs $10 to play (paid once). How much money would you expect to make altogether?
[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:


0.950.05
12345
Number

What is the probability of rolling a number that is smaller than or equal to 3?
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
02
11
25
32
44
53

What is the probability of the humans to score more than 2?
[2]
Roll 12 6-sided dice.
How many times would you expect to get less than or equal to 3?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.20.8
bluepinkyellow
Color

How many yellow balls were in the bag?
[1]
The weather forecast says that the chances of rain are 20%. Your chance of being outside today is 50%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than 5?
[1]
Roll 84 6-sided dice.
How many times would you expect to get a number more than 2?
[1]