Probability Powerplay
Level 6, 2026-09-14
Roll 72 6-sided dice.
How many times would you expect to get less than 4?
[1]
Roll 1 6-sided die.
What is the probability of getting a 6?
[1]
Flip a coin 12 times.
Each time a head comes up you win $2 and with each tail you lose $1. It costs $21 to play (paid once). How much money would you expect to make altogether?
[1]
A bag has 2 balls with numbers from 5 to 6. You take out 1 ball.
What is the probability of NOT getting the ball with the number 4?
[1]
Roll 1 6-sided die.
What is the probability of getting a number bigger than or equal to 3?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.20.8
pinkbluepurple
Color

If you choose a random ball from the bag, what is the probability of it not being purple?
[1]
A group of humans were timed running 100m. Here are the results:
humans

Time13
141
155
16
171

What is the probability of the humans to run 100m in exactly 13s?
[2]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.20.40.4
redorangeyellow
Color

If you choose a random ball from the bag, what is the probability of it being yellow or red?
[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:


0.450.20.20.15
12345
Number

What is the probability of rolling a number that is smaller than 1?
[1]
Roll 2 6-sided dice.
What is the probability of getting a 6 on both dice?
[1]
Roll 78 6-sided dice.
How many times would you expect to get more than or equal to 4?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are less than 3?
[1]
Roll 102 6-sided dice.
How many times would you expect to get an odd number?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
redblue
Color

Probability of Type

0.50.5
sedanwagon
Type

What is the probability of a car being a red sedan?
[2]
Roll 30 6-sided dice.
How many times would you expect to get less than 2?
[1]
A group of people were timed running 100m. Here are the results:
people

6335
1314151617
Time

What is the probability of the people to run 100m in more than 14s?
[2]
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:


0.850.050.050.05
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 3?
[1]