Probability Powerplay
Level 6, 2026-09-13
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:


0.150.20.250.4
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 5?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

1
redyellow
Color

Probability of Type

0.30.7
sedanwagon
Type

What is the probability of a car being a red sedan?
[2]
A group of boys were timed running 100m. Here are the results:
boys

56345
1314151617
Time

What is the probability of the boys to run 100m in more than 17s?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
redpurple
Color

Probability of Type

0.90.1
sedanwagon
Type

What is the probability of a car being a red sedan?
[2]
Roll 144 6-sided dice.
How many times would you expect to get less than or equal to 6?
[1]
You flip a coin and roll a 4 sided die.
What is the probability of getting a 2 and a tail?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are less than 5?
[1]
Roll 48 6-sided dice.
How many times would you expect to get more than 6?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 10 and a 30% chance of scoring a 40 and a 40% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.10.9
redblue
Color

How many red balls were in the bag?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.10.9
orangeyellowpink
Color

If you choose a random ball from the bag, what is the probability of it not being yellow or orange?
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
00
10
21
33
45
55

What fraction of the humans score more than 1?
[2]
Roll 12 6-sided dice.
How many times would you expect to get less than or equal to 1?
[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:


0.10.20.10.250.35
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 5?
[1]
The weather forecast says that the chances of rain are 30%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 40%.
What is the probability of getting wet today?
[1]
Roll 144 6-sided dice.
How many times would you expect to get anything except 2?
[1]