Probability Powerplay
Level 6, 2026-09-19
A wheel has 6 sections, each has a reward in dollars, from $1 through to $6.
What prize do we expect to get if we spin the wheel?
[1]
There are 16 balls in a bag. This is is the probability distribution of their color:


0.50.5
purplegreen
Color

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

Time134
145
154
161
17

What fraction of the girls run 100m in less than 15s?
[2]
We asked a group of people how many Pizzas they eat in a day. Here are the results:
Pizzaspeople
02
11
20
33

What is the probability of the people to eat exactly 3 Pizzas in a day?
[2]
Roll 42 6-sided dice.
How many times would you expect to get more than 6?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 3?
[1]
The chances of feeling like icecream are 60%. The chances of being near an icecream store are 90%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
You shoot an arrow at a target. There is a 20% chance of scoring a 10 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 did a math test and here are their scores out of 5:
Scorehumans
02
14
21
32
42
56

What fraction of the humans score more than 4?
[2]
A wheel has 9 sections, each a number on it from 1 to 9. 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]
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:


0.450.10.10.150.2
12345
Number

What is the probability of rolling a number that is bigger than 4?
[1]
A wheel has 6 sections, each a number on it from 1 to 6. 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]
You shoot an arrow at a target. There is a 40% chance of scoring a 20, a 30% 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]
A group of humans were timed running 100m. Here are the results:
Timehumans
133
143
152
163
172

What fraction of the humans run 100m in more than 17s?
[2]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.250.75
bluegreen
Color

How many green balls were in the bag?
[1]
You shoot an arrow at a target. There is a 80% chance of scoring a 20 and a 20% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]