Probability Powerplay
Level 6, 2026-06-21
There are 10 balls in a bag. This is is the probability distribution of their color:


0.30.7
purpleredpink
Color

How many purple balls were in the bag?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 80% chance of clearing a Fence and a 90% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
yellowred
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a yellow wagon?
[2]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than 5?
[1]
A group of kids did a math test and here are their scores out of 5:
Scorekids
04
16
24
36
44
55

What is the probability of the kids to score exactly 1?
[2]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than 2?
[1]
A bag has 3 red balls, 6 green balls and 8 blue balls. You take out 1 ball.
What is the probability of getting a blue ball?
[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:


0.550.10.250.1
12345
Number

What is the probability of rolling a number from 4 to 5?
[1]
Roll 114 6-sided dice.
How many times would you expect to get a number more than 3?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.70.10.2
purplepinkorange
Color

How many pink balls were in the bag?
[1]
A bag has 6 red balls, 10 green balls and 4 blue balls. You take out 1 ball.
What is the probability of getting a red ball or a blue ball?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

Score06
15
24
31
42
51

What is the probability of the girls to score more than 5?
[2]
A group of people were timed running 100m. Here are the results:
people

Time136
146
153
165
174

What is the probability of the people to run 100m in exactly 16s?
[2]
Flip a coin 10 times.
Each time a Head comes up you win $3. It costs $18 to play (paid once). How much money would you expect to make altogether?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number more than 5 and a tail?
[1]
There are 120 balls in a bag. This is is the probability distribution of their color:


0.90.1
orangeyellow
Color

How many orange balls were in the bag?
[1]