Probability Powerplay
Level 6, 2026-06-02
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:


0.550.20.050.2
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 3?
[1]
Roll 1 6-sided die.
What is the probability of getting a number smaller than or equal to 1?
[1]
A group of girls were timed running 100m. Here are the results:
girls

Time135
144
15
162
171

What is the probability of the girls to run 100m in exactly 13s?
[2]
A bag has 6 balls with number 6 and 9 balls with a number 1. You take out 1 ball.
What is the probability of getting the ball with the number 1?
[1]
Roll 24 6-sided dice.
How many times would you expect to get more 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:


0.60.10.050.25
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 5?
[1]
A bag has 6 balls with numbers from 2 to 7. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 8?
[1]
A bag has 2 balls with numbers from 5 to 6. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 7?
[1]
The chances of feeling like icecream are 50%. The chances of being near an icecream store are 70%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
A wheel has 6 purple sections and 8 yellow sections.
What is the probability of getting purple?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number more than 5 and a tail?
[1]
A group of humans were timed running 100m. Here are the results:
humans

Time134
145
151
165
17

What is the probability of the humans to run 100m in exactly 17s?
[2]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.10.9
bluepurple
Color

How many blue balls were in the bag?
[1]
A group of girls were timed running 100m. Here are the results:
girls

3522
1314151617
Time

What fraction of the girls run 100m in less than 13s?
[2]
An obstacle course has 2 Fences and 1 Ditches. You have a 100% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A bag has 2 balls with number 4 and 7 balls with a number 7. You take out 1 ball.
What is the probability of getting the ball with the number 4?
[1]
A bag has 3 red balls and 8 blue balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]