Probability Powerplay
Level 6, 2026-07-27
Cars go by on a road, each is a different color and type.

Probability of Color

0.60.4
greenorange
Color

Probability of Type

0.90.1
sedanwagon
Type

What is the probability of a car being a orange sedan?
[2]
Roll 1 6-sided die.
What is the probability of NOT getting a 5?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

Score0
1
25
3
4
54

What is the probability of the humans to score less than 1?
[2]
An obstacle course has 1 Fences and 1 Ditches. You have a 80% 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]
Roll 120 6-sided dice.
How many times would you expect to get an odd number?
[1]
There are 8 balls in a bag. This is is the probability distribution of their color:


0.50.5
yellowpurple
Color

How many purple balls were in the bag?
[1]
Roll 72 6-sided dice.
How many times would you expect to get an even number?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 10, a 40% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
Roll 18 6-sided dice.
How many times would you expect to get a number more than 4?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
greenblue
Color

Probability of Type

0.60.4
wagonsedan
Type

What is the probability of a car being a blue wagon?
[2]
Flip a coin 4 times.
Each time a head comes up you win $4 and with each tail you lose $4. It costs $1 to play (paid once). How much money would you expect to make altogether?
[1]
A bag has 5 red balls, 9 green balls and 10 blue balls. You take out 1 ball.
What is the probability of getting a red ball?
[1]
The weather forecast says that the chances of rain are 20%. Your chance of being outside today is 50%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]
Roll 90 6-sided dice.
How many times would you expect to get anything except 3?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 10, a 30% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
A bag has 5 red balls, 2 blue balls and 5 yellow balls. You take out a yellow ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]
Roll 78 6-sided dice.
How many times would you expect to get a number less than 3?
[1]