Probability Powerplay
Level 6, 2026-10-28
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:


0.750.10.15
12345
Number

What is the probability of rolling a number that is bigger than or equal to 3?
[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:


0.70.050.25
12345
Number

What is the probability of rolling a 4?
[1]
A group of humans were timed running 100m. Here are the results:
humans

Time136
141
154
162
176

What fraction of the humans run 100m in more than 13s?
[2]
You shoot an arrow at a target. There is a 10% chance of scoring a 10 and a 40% chance of scoring a 30 and a 50% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
An obstacle course has 1 Fences and 2 Ditches. You have a 90% 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]
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:


0.90.050.05
12345
Number

What is the probability of rolling a 4?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.50.20.3
yellowgreenpink
Color

How many green balls were in the bag?
[1]
Flip 2 coins.
What is the probability of getting a head and a tail?
[1]
Roll 126 6-sided dice.
How many times would you expect to get more than 4?
[1]
There are 4 balls in a bag. This is is the probability distribution of their color:


0.50.5
redgreen
Color

How many red balls were in the bag?
[1]
Roll 1 6-sided die.
What is the probability of NOT getting a 4?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.50.5
redpinkpurple
Color

How many purple balls were in the bag?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.60.4
greenredpink
Color

If you choose a random ball from the bag, what is the probability of it being pink or green?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.50.20.3
orangeyellowblue
Color

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

Chocolates04
13
25
31

What is the probability of the boys to eat more than 1 Chocolates in a day?
[2]
Roll 78 6-sided dice.
How many times would you expect to get less than 2?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

22121
012345
Score

What is the probability of the humans to score less than 5?
[2]