Probability Powerplay
Level 6, 2026-05-06
There are 24 balls in a bag. This is is the probability distribution of their color:


0.50.5
pinkgreen
Color

How many green balls were in the bag?
[1]
Flip a coin 4 times.
Each time a Tail comes up you win $2. How much money would you expect to make altogether?
[1]
Flip a coin 2 times.
Each time a Head comes up you win $3. How much money would you expect to make altogether?
[1]
Flip 1 coin.
What is the probability of getting a tail?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
redorange
Color

Probability of Type

0.70.3
wagonsedan
Type

What is the probability of a car being a red wagon?
[2]
A group of dogs were timed running 100m. Here are the results:
Timedogs
130
144
152
163
171

What fraction of the dogs run 100m in exactly 15s?
[2]
The chances of feeling like icecream are 50%. The chances of being near an icecream store are 40%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]
Flip a coin 6 times.
Each time a head comes up you win $4 and with each tail you lose $4. 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:


0.450.150.150.25
12345
Number

What is the probability of rolling a number that is smaller than 4?
[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:


0.250.050.10.150.45
12345
Number

What is the probability of rolling a number that is bigger than 4?
[1]
A bag has 10 balls with numbers from 3 to 12. You take out 1 ball.
What is the probability of getting the ball with the number 3?
[1]
A bag has 5 balls with numbers from 2 to 6. You take out 1 ball.
What is the probability of NOT getting the ball with the number 1?
[1]
A group of people were timed running 100m. Here are the results:
people

Time136
141
152
166
172

What is the probability of the people to run 100m in more than 15s?
[2]
There are 44 balls in a bag. This is is the probability distribution of their color:


0.750.25
purplered
Color

How many red balls were in the bag?
[1]
We asked a group of girls how many Oranges they eat in a week. Here are the results:
girls

Oranges01
15
23
32

What is the probability of the girls to eat less than 1 Oranges in a week?
[2]
A wheel has 14 sections, 2 of each color.
What is the probability of getting orange?
[1]