Probability Powerplay
Level 6, 2026-03-28
Roll 6 6-sided dice.
How many times would you expect to get less than or equal to 2?
[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:


0.150.250.250.35
12345
Number

What is the probability of rolling a number that is bigger than 3?
[1]
We asked a group of people how many Burgers they eat in a day. Here are the results:
people

313
0123
Burgers

What fraction of the people eat less than 4 Burgers in a day?
[2]
Flip a coin 8 times.
Each time a head comes up you win $4 and with each tail you lose $3. How much money would you expect to make altogether?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.30.7
purpleblueorange
Color

If you choose a random ball from the bag, what is the probability of it not being purple?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
00
15
26
31
40
54

What fraction of the dogs score exactly 1?
[2]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.10.10.8
purplegreenpink
Color

How many pink balls were in the bag?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.70.10.2
orangebluegreen
Color

If you choose a random ball from the bag, what is the probability of it not being blue or green?
[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:


0.60.150.25
12345
Number

What is the probability of rolling a number that is smaller than or equal to 2?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

Score02
12
21
34
42
54

What is the probability of the dogs to score less than 4?
[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:


0.350.20.150.250.05
12345
Number

What is the probability of rolling a number that is smaller than or equal to 3?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.80.10.1
blueorangepurple
Color

If you choose a random ball from the bag, what is the probability of it being orange or blue?
[1]
Roll 108 6-sided dice.
How many times would you expect to get less than 4?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.70.3
yellowgreenblue
Color

How many green balls were in the bag?
[1]
Roll 78 6-sided dice.
How many times would you expect to get anything except 6?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 10 and a 20% chance of scoring a 40 and a 40% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
The weather forecast says that the chances of rain are 80%. Your chance of being outside today is 70%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]