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:


0.350.250.150.25
12345
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 5?
[1]
We asked a group of boys how many Bowls of Ramen they eat in a day. Here are the results:
boys

Bowls of Ramen06
15
2
34

What is the probability of the boys to eat exactly 2 Bowls of Ramen in a day?
[2]
You shoot an arrow at a target. You will either score 20 (50% chance), 40 (20% chance), or 60. What average score do you expect to get if you do this many times?
[1]
You shoot an arrow at a target. You will either score 10 (10% chance), 30 (30% chance), or 50. What average score do you expect to get if you do this many times?
[1]
Roll 138 6-sided dice.
How many times would you expect to get less than 5?
[1]
Roll 30 6-sided dice.
How many times would you expect to get an odd number?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 100% 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]
You shoot an arrow at a target. There is a 90% chance of scoring a 10 and a 10% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

122336
012345
Score

What fraction of the girls score less than 3?
[2]
A group of girls did a math test and here are their scores out of 5:
girls

311532
012345
Score

What fraction of the girls score less than 3?
[2]
A bag has 9 balls with numbers from 4 to 12. You take out 1 ball.
What is the probability of getting the ball with the number 11?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
pinkredyellow
Color

How many yellow balls were in the bag?
[1]
A bag has 6 balls with numbers from 5 to 10. You take out 1 ball.
What is the probability of NOT getting the ball with the number 6?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

Score04
14
22
35
42
56

What fraction of the girls score less than 4?
[2]
There are 44 balls in a bag. This is is the probability distribution of their color:


0.250.75
bluegreen
Color

How many green 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:


0.150.10.050.050.65
12345
Number

What is the probability of rolling a 4?
[1]