Probability Powerplay
Level 6, 2026-10-25
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
redgreen
Color

Probability of Type

0.10.9
sedanwagon
Type

What is the probability of a car being a green wagon?
[2]
We asked a group of dogs how many Hot dogs they eat in a week. Here are the results:
dogs

3143
0123
Hot dogs

What is the probability of the dogs to eat more than 1 Hot dogs in a week?
[2]
We asked a group of dogs how many Sandwiches they eat in a day. Here are the results:
Sandwichesdogs
05
14
26
33

What fraction of the dogs eat exactly 3 Sandwiches in a day?
[2]
Flip a coin 14 times.
Each time a head comes up you win $2 and with each tail you lose $1. It costs $4 to play (paid once). How much money would you expect to make altogether?
[1]
A group of people were timed running 100m. Here are the results:
people

Time135
146
151
165
175

What fraction of the people run 100m in exactly 15s?
[2]
Roll 1 6-sided die.
What is the probability of getting a number smaller than 1?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.20.40.4
purpleyelloworange
Color

How many yellow balls were in the bag?
[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:


0.250.20.150.4
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 5?
[1]
Flip a coin 2 times.
Each time a Head comes up you win $2. 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:


0.10.9
12345
Number

What is the probability of rolling a number that is bigger than 3 or smaller than 4?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

1
greenblue
Color

Probability of Type

0.60.4
sedanwagon
Type

What is the probability of a car being a green wagon?
[2]
Roll 2 6-sided dice.
You add the two numbers. What is the probability of getting 2?
[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]
There are 24 balls in a bag. This is is the probability distribution of their color:


0.750.25
orangeyellow
Color

How many orange balls were in the bag?
[1]
There are 4 balls in a bag. This is is the probability distribution of their color:


0.250.75
bluepurple
Color

How many purple balls were in the bag?
[1]