Probability Powerplay
Level 6, 2026-03-19
Flip a coin 12 times.
Each time a Tail comes up you win $3. How much money would you expect to make altogether?
[1]
There are 16 balls in a bag. This is is the probability distribution of their color:


0.50.5
blueyellow
Color

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

Popsicles01
1
24
36

What is the probability of the kids to eat exactly 0 Popsicles in a week?
[2]
Roll 1 6-sided die.
What is the probability of getting a number bigger than 2?
[1]
We asked a group of boys how many Oranges they eat in a day. Here are the results:
Orangesboys
01
11
22
36

What fraction of the boys eat exactly 0 Oranges in a day?
[2]
You shoot an arrow at a target. There is a 60% chance of scoring a 30 and a 40% chance of scoring a 40. What average score do you expect to get if you do this many times?
[1]
An obstacle course has 1 Fences and 1 Ditches. You have a 100% 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]
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:


0.10.10.150.65
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:


0.20.10.250.250.2
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 5?
[1]
A group of boys were timed running 100m. Here are the results:
boys

Time134
145
154
161
172

What is the probability of the boys to run 100m in less than 13s?
[2]
There are 45 balls in a bag. This is is the probability distribution of their color:


0.20.8
yellowgreen
Color

How many green 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:


0.050.050.9
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
A group of people did a math test and here are their scores out of 5:
people

Score06
16
26
35
41
5

What is the probability of the people to score more than 3?
[2]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.20.8
yellowblue
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:


0.60.10.250.05
12345
Number

What is the probability of rolling a number that is bigger than 1?
[1]
Flip a coin 4 times.
Each time a head comes up you win $4 and with each tail you lose $4. It costs $2 to play (paid once). How much money would you expect to make altogether?
[1]