Probability Powerplay
Level 6, 2026-09-23
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
yellowblue
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a yellow wagon?
[2]
There are 28 balls in a bag. This is is the probability distribution of their color:


0.750.25
greenyellow
Color

How many yellow balls were in the bag?
[1]
A wheel has 8 sections, each a number on it from 1 to 8. If you spin an odd number you win that amount of dollars, if you spin an even number you lose.
What prize do we expect to get if we spin the wheel?
[1]
Roll 84 6-sided dice.
How many times would you expect to get anything except 2?
[1]
A bag has 9 balls with numbers from 4 to 12. You take out 1 ball.
What is the probability of NOT getting the ball with the number 12?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 80% 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]
We asked a group of humans how many Pizzas they eat in a month. Here are the results:
Pizzashumans
00
10
24
33

What fraction of the humans eat exactly 4 Pizzas in a month?
[2]
We asked a group of boys how many Pillows they eat in a day. Here are the results:
boys

Pillows02
12
21
31

What fraction of the boys eat exactly 2 Pillows in a day?
[2]
The weather forecast says that the chances of rain are 40%. The chance of remembering your umbrella is 70%. 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:
girls

21244
012345
Score

What is the probability of the girls to score less than 1?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number more than 2 and a tail?
[1]
Roll 108 6-sided dice.
How many times would you expect to get an even number?
[1]
We asked a group of girls how many Bowls of Ramen they eat in a day. Here are the results:
girls

6655
0123
Bowls of Ramen

What is the probability of the girls to eat less than 3 Bowls of Ramen in a day?
[2]
We asked a group of humans how many Burgers they eat in a day. Here are the results:
humans

Burgers06
11
23
31

What is the probability of the humans to eat exactly 3 Burgers in a day?
[2]