Probability Powerplay
Level 6, 2026-02-16
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:


0.40.250.20.050.1
12345
Number

What is the probability of rolling a number that is smaller than or equal to 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:


0.850.050.1
12345
Number

What is the probability of rolling a number that is bigger than 2?
[1]
A group of boys did a math test and here are their scores out of 5:
Scoreboys
03
14
21
32
41
52

What fraction of the boys score less than 3?
[2]
We asked a group of people how many Hot dogs they eat in a week. Here are the results:
people

Hot dogs05
16
25
36

What fraction of the people eat more than 0 Hot dogs in a week?
[2]
A group of dogs did a math test and here are their scores out of 5:
dogs

423154
012345
Score

What fraction of the dogs score less than 2?
[2]
We asked a group of people how many Bananas they eat in a day. Here are the results:
people

242
0123
Bananas

What is the probability of the people to eat less than 4 Bananas in a day?
[2]
Flip a coin 16 times.
Each time a head comes up you win $4 and with each tail you lose $3. It costs $31 to play (paid once). How much money would you expect to make altogether?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

66665
012345
Score

What fraction of the dogs score more than 3?
[2]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
05
11
20
34
46
55

What fraction of the girls score more than 3?
[2]
A group of people did a math test and here are their scores out of 5:
Scorepeople
01
12
20
33
46
55

What is the probability of the people to score more than 1?
[2]
Roll 132 6-sided dice.
How many times would you expect to get anything except 4?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.50.5
orangegreenyellow
Color

If you choose a random ball from the bag, what is the probability of it not being orange or yellow?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 30 and a 40% chance of scoring a 40. What average score do you expect to get if you do this many times?
[1]