Probability Powerplay
Level 6, 2026-02-13
The chances of feeling like icecream are 90%. The chances of being near an icecream store are 70%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
Roll 96 6-sided dice.
How many times would you expect to get less than or equal to 5?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.10.30.6
orangepurplepink
Color

How many pink balls were in the bag?
[1]
A wheel has 13 sections, each has a reward in dollars, from $1 through to $13.
What prize do we expect to get if we spin the wheel?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

23423
012345
Score

What fraction of the dogs score exactly 1?
[2]
Roll 144 6-sided dice.
How many times would you expect to get less than 3?
[1]
Flip a coin 8 times.
Each time a Head comes up you win $3. How much money would you expect to make altogether?
[1]
A group of dogs were timed running 100m. Here are the results:
Timedogs
131
145
156
160
173

What fraction of the dogs run 100m in more than 14s?
[2]
A wheel has 6 green sections and 2 purple sections.
What is the probability of getting purple?
[1]
We asked a group of humans how many Bowls of Ramen they eat in a day. Here are the results:
Bowls of Ramenhumans
06
13
23
32

What fraction of the humans eat more than 3 Bowls of Ramen in a day?
[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:


0.650.150.150.05
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 4?
[1]
A wheel has 4 green sections and 7 red sections.
What is the probability of getting green?
[1]
A group of girls were timed running 100m. Here are the results:
Timegirls
133
146
154
165
170

What is the probability of the girls to run 100m in exactly 15s?
[2]
There are 16 balls in a bag. This is is the probability distribution of their color:


0.50.5
blueorange
Color

How many blue balls were in the bag?
[1]
A bag has 8 balls with numbers from 4 to 11. You take out 1 ball.
What is the probability of NOT getting the ball with the number 8?
[1]
The weather forecast says that the chances of rain are 30%. 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]