Probability Powerplay
Level 6, 2026-09-06
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:


0.10.10.20.6
12345
Number

What is the probability of rolling a number that is smaller than or equal to 4?
[1]
Roll 24 6-sided dice.
How many times would you expect to get a number less than 1?
[1]
A bag has 7 balls with number 2 and 7 balls with a number 1. You take out 1 ball.
What is the probability of getting the ball with the number 2?
[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:


0.050.95
12345
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 3?
[1]
There are 48 balls in a bag. This is is the probability distribution of their color:


0.250.75
purpleblue
Color

How many purple balls were in the bag?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

1
redpink
Color

Probability of Type

0.50.5
wagonsedan
Type

What is the probability of a car being a pink sedan?
[2]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.20.40.4
yellowpinkpurple
Color

If you choose a random ball from the bag, what is the probability of it not being yellow?
[1]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 90%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]
Flip a coin 18 times.
Each time a Head comes up you win $3. It costs $22 to play (paid once). How much money would you expect to make altogether?
[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:


0.10.9
12345
Number

What is the probability of rolling a number that is smaller than or equal to 3?
[1]
Roll 84 6-sided dice.
How many times would you expect to get anything except 2?
[1]
There are 32 balls in a bag. This is is the probability distribution of their color:


0.250.75
greenpurple
Color

How many purple balls were in the bag?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

Time135
141
156
166
171

What is the probability of the dogs to run 100m in exactly 13s?
[2]
A bag has 6 balls with number 3 and 6 balls with a number 1. What will be the average of the numbers of the balls taken out of 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:


0.150.250.250.20.15
12345
Number

What is the probability of rolling a 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:


0.10.050.10.10.65
12345
Number

What is the probability of rolling a 1?
[1]
A bag has 5 balls with number 2 and 7 balls with a number 8. What will be the average of the numbers of the balls taken out of the bag
[1]
Roll 60 6-sided dice.
How many times would you expect to get less than 5?
[1]