Probability Powerplay
Level 6, 2026-04-06
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:


0.050.20.10.050.6
12345
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 5?
[1]
There are 44 balls in a bag. This is is the probability distribution of their color:


0.250.75
greenorange
Color

How many orange balls were in the bag?
[1]
A bag has 6 balls with numbers from 3 to 8. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 5?
[1]
You shoot an arrow at a target. There is a 20% chance of scoring a 20 and a 20% chance of scoring a 30 and a 60% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
A group of humans were timed running 100m. Here are the results:
humans

3261
1314151617
Time

What is the probability of the humans to run 100m in more than 17s?
[2]
We asked a group of humans how many Chocolates they eat in a week. Here are the results:
Chocolateshumans
02
11
24
34

What fraction of the humans eat exactly 0 Chocolates in a week?
[2]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
05
16
20
35
42
56

What fraction of the humans score less than 5?
[2]
Roll 132 6-sided dice.
How many times would you expect to get less than or equal to 6?
[1]
Roll 120 6-sided dice.
How many times would you expect to get less than 6?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

63224
012345
Score

What is the probability of the girls to score more than 3?
[2]
A group of kids were timed running 100m. Here are the results:
Timekids
132
140
152
166
174

What is the probability of the kids to run 100m in exactly 13s?
[2]
Roll 1 6-sided die.
What is the probability of getting a number 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:


0.350.050.10.250.25
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are even?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 30, a 50% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]