Probability Powerplay
Level 6, 2026-10-02
We asked a group of boys how many Sandwiches they eat in a month. Here are the results:
boys

Sandwiches0
14
24
31

What fraction of the boys eat exactly 0 Sandwiches in a month?
[2]
A wheel has 12 sections, each a number on it from 1 to 12. 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]
We asked a group of people how many Apples they eat in a month. Here are the results:
people

135
0123
Apples

What fraction of the people eat exactly 1 Apples in a month?
[2]
The weather forecast says that the chances of rain are 70%. Your chance of being outside today is 70%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]
We asked a group of dogs how many Bowls of Ramen they eat in a month. Here are the results:
Bowls of Ramendogs
03
10
24
32

What is the probability of the dogs to eat exactly 4 Bowls of Ramen in a month?
[2]
Flip a coin 12 times.
Each time a Tail comes up you win $3. How much money would you expect to make altogether?
[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:


0.650.10.25
12345
Number

What is the probability of rolling a number that is smaller than or equal to 1?
[1]
We asked a group of dogs how many Pillows they eat in a month. Here are the results:
Pillowsdogs
00
12
23
34

What fraction of the dogs eat exactly 2 Pillows in a month?
[2]
There are 12 balls in a bag. This is is the probability distribution of their color:


0.250.75
purpleblue
Color

How many blue balls were in the bag?
[1]
You shoot an arrow at a target. There is a 50% 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 wheel has 10 sections, each a number on it from 1 to 10. 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:


0.10.150.75
12345
Number

What is the probability of rolling a 2?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number less than 3 and a head?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
bluered
Color

Probability of Type

0.40.6
wagonsedan
Type

What is the probability of a car being a red sedan?
[2]
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:


0.60.20.2
12345
Number

What is the probability of rolling a 3?
[1]