Probability Powerplay
Level 6, 2026-08-05
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 1?
[1]
A bag has 2 red balls, 5 blue balls and 6 yellow balls. You take out a yellow ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

555
012345
Score

What is the probability of the girls to score exactly 5?
[2]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.10.40.5
greenbluepink
Color

How many blue balls were in the bag?
[1]
A group of kids did a math test and here are their scores out of 5:
Scorekids
01
15
23
34
42
52

What is the probability of the kids to score less than 4?
[2]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.60.20.2
bluepurpleyellow
Color

If you choose a random ball from the bag, what is the probability of it not being purple or yellow?
[1]
A bag has 9 balls with number 5 and 2 balls with a number 4. You take out 1 ball.
What is the probability of getting the ball with the number 4?
[1]
You shoot an arrow at a target. You will either score 10 (20% chance), 30 (20% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

663561
012345
Score

What fraction of the boys score less than 3?
[2]
A group of people were timed running 100m. Here are the results:
people

5415
1314151617
Time

What fraction of the people run 100m in exactly 15s?
[2]
A wheel has 11 sections, each a number on it from 1 to 11. If you spin an odd number you win that amount of dollars, if you spin an even number you lose.
What prize do we expect to get if we spin the wheel?
[1]
Flip 1 coin.
What is the probability of getting a head?
[1]
There are 12 balls in a bag. This is is the probability distribution of their color:


0.50.5
purpleyellow
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:


0.250.20.050.250.25
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 4?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

Score04
16
26
36
4
55

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