Probability Powerplay
Level 6, 2026-09-19
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:


0.90.1
12345
Number

What is the probability of rolling a 2?
[1]
Roll 108 6-sided dice.
How many times would you expect to get less than or equal to 4?
[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:


0.20.10.250.10.35
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 4?
[1]
Roll 108 6-sided dice.
How many times would you expect to get anything except 3?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.20.30.5
orangegreenpurple
Color

If you choose a random ball from the bag, what is the probability of it being green or orange?
[1]
A group of girls were timed running 100m. Here are the results:
girls

Time133
144
15
166
175

What fraction of the girls run 100m in less than 16s?
[2]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.10.20.7
orangepurplered
Color

How many orange balls were in the bag?
[1]
An obstacle course has 1 Fences and 1 Ditches. You have a 100% chance of clearing a Fence and a 80% 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:


0.10.050.85
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
greenyellow
Color

Probability of Type

0.80.2
sedanwagon
Type

What is the probability of a car being a green wagon?
[2]
Roll 2 6-sided dice.
You add the two numbers. What is the probability of getting 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:


0.60.050.10.050.2
12345
Number

What is the probability of rolling a number that is bigger than 4?
[1]
A group of people were timed running 100m. Here are the results:
Timepeople
133
141
156
162
171

What is the probability of the people to run 100m in exactly 15s?
[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:


0.750.10.050.1
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
A bag has 5 red balls and 7 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
A group of kids were timed running 100m. Here are the results:
Timekids
135
143
152
162
170

What fraction of the kids run 100m in more than 13s?
[2]