Probability Powerplay
Level 6, 2026-08-25
Roll 1 6-sided die.
What is the probability of getting a 1?
[1]
Flip 2 coins.
What is the probability of getting 2 tails?
[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:


0.750.20.05
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]
Flip a coin 18 times.
Each time a head comes up you win $3 and with each tail you lose $1. It costs $24 to play (paid once). How much money would you expect to make altogether?
[1]
A bag has 2 balls with number 3 and 5 balls with a number 7. 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:


0.60.250.050.1
12345
Number

What is the probability of rolling a number that is bigger than 3 or smaller than 5?
[1]
The weather forecast says that the chances of rain are 90%. The chance of remembering your umbrella is 70%. Your chance of being outside today are 50%.
What is the probability of getting wet today?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

6555
012345
Score

What is the probability of the dogs to score exactly 2?
[2]
A wheel has 5 purple sections and 8 yellow sections.
What is the probability of getting purple?
[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:


0.650.10.150.1
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.20.8
bluepinkyellow
Color

How many blue balls were in the bag?
[1]
We asked a group of people how many Sandwiches they eat in a month. Here are the results:
people

3456
0123
Sandwiches

What fraction of the people eat exactly 0 Sandwiches in a month?
[2]
Roll 132 6-sided dice.
How many times would you expect to get more than or equal to 3?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
purplepink
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a purple sedan?
[2]
Roll 132 6-sided dice.
How many times would you expect to get an even number?
[1]
The weather forecast says that the chances of rain are 40%. The chance of remembering your umbrella is 70%. Your chance of being outside today are 80%.
What is the probability of getting wet today?
[1]
Roll 78 6-sided dice.
How many times would you expect to get more than 2?
[1]