Probability Powerplay
Level 6, 2026-08-07
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:


0.10.10.10.10.6
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 4?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.90.1
blueorange
Color

How many blue balls were in the bag?
[1]
There are 36 balls in a bag. This is is the probability distribution of their color:


0.750.25
yellowpink
Color

How many pink balls were in the bag?
[1]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
06
13
20
30
44
56

What fraction of the girls score more than 4?
[2]
Flip 1 coin.
What is the probability of getting a head?
[1]
Roll 1 6-sided die.
What is the probability of NOT getting a 3?
[1]
Roll 132 6-sided dice.
How many times would you expect to get more than or equal to 4?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.20.8
bluepink
Color

Probability of Type

0.10.9
wagonsedan
Type

What is the probability of a car being a pink sedan?
[2]
A group of people were timed running 100m. Here are the results:
Timepeople
136
144
151
162
171

What fraction of the people run 100m in more than 13s?
[2]
You shoot an arrow at a target. You will either score 20 (20% chance), 30 (10% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A group of boys were timed running 100m. Here are the results:
boys

26226
1314151617
Time

What fraction of the boys run 100m in exactly 16s?
[2]
You shoot an arrow at a target. There is a 70% chance of scoring a 10 and a 30% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
A bag has 3 red balls, 4 green balls and 2 blue balls. You take out 1 ball.
What is the probability of getting a red ball or a green ball?
[1]
Roll 108 6-sided dice.
How many times would you expect to get an ugly number?
[1]
Roll 102 6-sided dice.
How many times would you expect to get more than or equal to 5?
[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:


0.750.150.1
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]