Probability Powerplay
Level 6, 2026-07-31
A wheel has 5 pink sections and 4 yellow sections.
What is the probability of getting pink?
[1]
A bag has 6 red balls, 4 blue balls and 10 yellow balls. You take out a yellow ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A bag has 10 red balls, 2 green balls and 9 blue balls. You take out 1 ball.
What is the probability of NOT getting a red ball?
[1]
A group of people did a math test and here are their scores out of 5:
people

645246
012345
Score

What fraction of the people score exactly 3?
[2]
A group of boys were timed running 100m. Here are the results:
Timeboys
133
141
152
164
170

What fraction of the boys run 100m in less than 17s?
[2]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.40.50.1
pinkredgreen
Color

How many green balls were in the bag?
[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:


0.550.20.20.05
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 3?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 30 and a 50% chance of scoring a 40. What average score do you expect to get if you do this many times?
[1]
A group of kids were timed running 100m. Here are the results:
Timekids
132
143
155
165
175

What is the probability of the kids to run 100m in exactly 17s?
[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:


0.20.050.75
12345
Number

What is the probability of rolling a number from 2 to 4?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 90% chance of clearing a Fence and a 100% 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:


0.650.20.15
12345
Number

What is the probability of rolling a number from 3 to 4?
[1]
We asked a group of people how many Pillows they eat in a month. Here are the results:
people

5561
0123
Pillows

What is the probability of the people to eat exactly 1 Pillows in a month?
[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:


1
12345
Number

What is the probability of rolling a number that is bigger than 2?
[1]
An obstacle course has 1 Fences and 2 Ditches. You have a 90% chance of clearing a Fence and a 80% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]