Probability Powerplay
Level 6, 2026-06-30
Roll 90 6-sided dice.
How many times would you expect to get a number less than 2?
[1]
A group of people were timed running 100m. Here are the results:
people

36622
1314151617
Time

What fraction of the people run 100m in exactly 16s?
[2]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than or equal to 5?
[1]
There are 44 balls in a bag. This is is the probability distribution of their color:


0.750.25
redpurple
Color

How many red balls were in the bag?
[1]
The weather forecast says that the chances of rain are 50%. Your chance of being outside today is 70%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.10.50.4
blueorangepurple
Color

How many blue balls were in the bag?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than 5?
[1]
Roll 24 6-sided dice.
How many times would you expect to get anything except 1?
[1]
A group of people did a math test and here are their scores out of 5:
people

15215
012345
Score

What fraction of the people score exactly 0?
[2]
A bag has 4 red balls and 4 blue balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
A bag has 5 red balls, 4 green balls and 3 blue balls. You take out 1 ball.
What is the probability of NOT getting a green ball?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 20 and a 50% chance of scoring a 60. What average score do you expect to get if you do this many times?
[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:


0.250.20.10.250.2
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 5?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 10, a 30% chance of scoring a 50, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
Roll 1 6-sided die.
What is the probability of getting 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:


0.150.050.20.6
12345
Number

What is the probability of rolling a number that is smaller than or equal to 1?
[1]
A group of humans were timed running 100m. Here are the results:
humans

Time136
14
156
162
171

What fraction of the humans run 100m in exactly 15s?
[2]