Probability Powerplay
Level 6, 2026-05-14
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:


0.450.10.050.20.2
12345
Number

What is the probability of rolling a number that is bigger than 1?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.50.5
bluepurplered
Color

How many purple balls were in the bag?
[1]
A group of girls were timed running 100m. Here are the results:
Timegirls
134
141
156
165
176

What fraction of the girls run 100m in less than 17s?
[2]
A bag has 4 balls with number 6 and 9 balls with a number 7. You take out 1 ball.
What is the probability of getting the ball with the number 6?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.80.2
purplered
Color

How many purple balls were in the bag?
[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:


0.20.250.55
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:


0.750.25
12345
Number

What is the probability of rolling a number that is bigger than 1?
[1]
Roll a die 84 times.
How many times would you expect to get a 1?
[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:


0.550.10.10.25
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 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:


0.30.10.20.250.15
12345
Number

What is the probability of rolling a number that is smaller than 2?
[1]
A group of people did a math test and here are their scores out of 5:
Scorepeople
03
12
20
35
44
50

What fraction of the people score more than 5?
[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:


0.050.050.9
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 5?
[1]
A group of kids were timed running 100m. Here are the results:
kids

34134
1314151617
Time

What fraction of the kids run 100m in more than 15s?
[2]
You shoot an arrow at a target. There is a 10% chance of scoring a 20 and a 20% chance of scoring a 30 and a 70% chance of scoring a 50. 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 90%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 6 or a 5 and a head?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.30.20.5
redpurplepink
Color

If you choose a random ball from the bag, what is the probability of it not being pink?
[1]