Probability Powerplay
Level 6, 2026-09-20
There are 2 balls in a bag. This is is the probability distribution of their color:


0.50.5
greenblue
Color

How many blue balls were in the bag?
[1]
You shoot an arrow at a target. There is a 20% chance of scoring a 10 and a 10% chance of scoring a 30 and a 70% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
There are 25 balls in a bag. This is is the probability distribution of their color:


0.20.8
purpleyellow
Color

How many yellow 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:


0.750.25
12345
Number

What is the probability of rolling a number from 2 to 3?
[1]
A group of kids were timed running 100m. Here are the results:
kids

56
1314151617
Time

What fraction of the kids run 100m in more than 13s?
[2]
A group of girls did a math test and here are their scores out of 5:
girls

Score04
15
21
32
42
56

What fraction of the girls score exactly 5?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 1 or a 4 and a head?
[1]
A bag has 5 red balls, 10 green balls and 2 blue balls. You take out 1 ball.
What is the probability of getting a blue ball or a red ball?
[1]
A wheel has 6 red sections and 2 green sections.
What is the probability of getting red?
[1]
A group of humans were timed running 100m. Here are the results:
Timehumans
135
145
153
160
170

What is the probability of the humans to run 100m in more than 17s?
[2]
A bag has 9 balls with numbers from 4 to 12. You take out 1 ball.
What is the probability of NOT getting the ball with the number 11?
[1]
You shoot an arrow at a target. You will either score 20 (30% chance), 30 (10% chance), or 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 30%. Your chance of being outside today is 60%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[1]
You roll a 9 sided die and a 7 sided die.
What is the probability of getting 1 on both dice?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
blueyellowpurple
Color

If you choose a random ball from the bag, what is the probability of it not being purple?
[1]
A bag has 8 balls with numbers from 5 to 12. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 9?
[1]
A bag has 3 balls with number 2 and 8 balls with a number 8. What will be the average of the numbers of the balls taken out of the bag
[1]