Probability Powerplay
Level 6, 2026-10-06
We asked a group of humans how many Pillows they eat in a month. Here are the results:
humans

Pillows05
13
21
35

What is the probability of the humans to eat less than 4 Pillows in a month?
[2]
Roll 12 6-sided dice.
How many times would you expect to get a number less than 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:


0.10.050.250.10.5
12345
Number

What is the probability of rolling a number from 1 to 3?
[1]
A bag has 3 balls with number 8 and 5 balls with a number 1. What will be the average of the numbers of the balls taken out of the bag
[1]
You shoot an arrow at a target. You will either score 10 (40% chance), 30 (40% chance), or 60. What average score do you expect to get if you do this many times?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.50.5
pinkgreenorange
Color

How many orange balls were in the bag?
[1]
A bag has 3 balls with number 8 and 4 balls with a number 2. You take out 1 ball.
What is the probability of getting the ball with the number 2?
[1]
A group of girls were timed running 100m. Here are the results:
girls

44535
1314151617
Time

What is the probability of the girls to run 100m in more than 16s?
[2]
The weather forecast says that the chances of rain are 20%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 60%.
What is the probability of getting wet today?
[1]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
03
11
26
36
41
53

What is the probability of the girls to score exactly 1?
[2]
Roll 138 6-sided dice.
How many times would you expect to get less than or equal to 1?
[1]
The weather forecast says that the chances of rain are 50%. Your chance of being outside today is 80%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[1]
A bag has 2 balls with number 8 and 6 balls with a number 1. What will be the average of the numbers of the balls taken out of the bag
[1]
A wheel has 8 sections, each a number on it from 1 to 8. If you spin an even number you win that amount of dollars, if you spin an odd number you lose.
What prize do we expect to get if we spin the wheel?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.40.40.2
pinkorangeblue
Color

If you choose a random ball from the bag, what is the probability of it being pink?
[1]
A group of boys did a math test and here are their scores out of 5:
Scoreboys
05
15
23
35
41
51

What fraction of the boys score exactly 0?
[2]