Probability Powerplay
Level 6, 2026-09-11
There are 16 balls in a bag. This is is the probability distribution of their color:


0.250.75
orangegreen
Color

How many orange balls were in the bag?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

Score0
1
26
34
43
52

What fraction of the kids score exactly 0?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

1
redblue
Color

Probability of Type

0.30.7
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:


0.050.150.8
12345
Number

What is the probability of rolling a number that is smaller than or equal to 3?
[1]
A group of people were timed running 100m. Here are the results:
people

22153
1314151617
Time

What is the probability of the people to run 100m in more than 14s?
[2]
A group of kids were timed running 100m. Here are the results:
kids

65343
1314151617
Time

What fraction of the kids run 100m in exactly 14s?
[2]
An obstacle course has 2 Fences and 1 Ditches. You have a 80% 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]
You shoot an arrow at a target. There is a 10% chance of scoring a 10 and a 30% chance of scoring a 40 and a 60% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.10.50.4
greenorangeblue
Color

How many blue balls were in the bag?
[1]
A bag has 6 balls with numbers from 5 to 10. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 7?
[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:


0.40.050.20.250.1
12345
Number

What is the probability of rolling a number from 1 to 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:


0.90.1
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

63323
1314151617
Time

What is the probability of the dogs to run 100m in exactly 17s?
[2]
A group of boys did a math test and here are their scores out of 5:
boys

Score01
12
26
31
45
52

What is the probability of the boys to score less than 1?
[2]