Probability Powerplay
Level 6, 2026-08-14
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:


0.20.250.10.20.25
12345
Number

What is the probability of rolling a number that is bigger than 4?
[1]
Roll 120 6-sided dice.
How many times would you expect to get less than 5?
[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:


0.20.250.150.4
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
The weather forecast says that the chances of rain are 70%. Your chance of being outside today is 70%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?
[1]
A bag has 5 balls with number 8 and 8 balls with a number 6. What will be the average of the numbers of the balls taken out of the bag
[1]
We asked a group of people how many Strawberries they eat in a month. Here are the results:
people

Strawberries0
11
2
32

What is the probability of the people to eat exactly 0 Strawberries in a month?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number less than 2 and a head?
[1]
A wheel has 10 sections, each with a different reward.
What is the probability of getting a Pocky?
[1]
A wheel has 9 sections, each has a reward in dollars, from $1 through to $9.
What prize do we expect to get if we spin the wheel?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are 1 or 4?
[1]
We asked a group of dogs how many Apples they eat in a month. Here are the results:
dogs

6343
0123
Apples

What is the probability of the dogs to eat less than 1 Apples in a month?
[2]
You shoot an arrow at a target. There is a 40% chance of scoring a 30, a 30% chance of scoring a 50, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
Roll 24 6-sided dice.
How many times would you expect to get more than or equal to 1?
[1]
Flip a coin 8 times.
Each time a Tail comes up you win $3. How much money would you expect to make altogether?
[1]
Roll 2 6-sided dice.
You add the two numbers. What is the probability of getting 12?
[1]
A bag has 5 red balls, 4 blue balls and 3 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]
Flip a coin 18 times.
Each time a Tail comes up you win $3. It costs $20 to play (paid once). How much money would you expect to make altogether?
[1]
Flip a coin 4 times.
Each time a head comes up you win $2 and with each tail you lose $3. How much money would you expect to make altogether?
[1]