Probability Powerplay
Level 6, 2026-07-24
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:


0.650.20.050.1
12345
Number

What is the probability of rolling a number that is smaller than or equal to 2?
[1]
Roll 84 6-sided dice.
How many times would you expect to get a number more than 2?
[1]
We asked a group of girls how many Apples they eat in a week. Here are the results:
girls

214
0123
Apples

What is the probability of the girls to eat exactly 4 Apples in a week?
[2]
Flip a coin 16 times.
Each time a head comes up you win $3 and with each tail you lose $4. How much money would you expect to make altogether?
[1]
A bag has 5 balls with number 1 and 9 balls with a number 6. What will be the average of the numbers of the balls taken out of the bag
[1]
Roll 1 6-sided die.
What is the probability of getting an even number?
[1]
A bag has 11 balls with numbers from 1 to 11. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 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:


0.150.20.65
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 1?
[1]
Roll 48 6-sided dice.
How many times would you expect to get less than or equal to 6?
[1]
There are 44 balls in a bag. This is is the probability distribution of their color:


0.250.75
pinkpurple
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

0.10.9
greenpink
Color

Probability of Type

0.70.3
wagonsedan
Type

What is the probability of a car being a green sedan?
[2]
The weather forecast says that the chances of rain are 70%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 60%.
What is the probability of getting wet today?
[1]
A bag has 3 balls with numbers from 2 to 4. You take out 1 ball.
What is the probability of NOT getting the ball with the number 4?
[1]
You roll a 7 sided die and a 6 sided die.
What is the probability of getting 2 on both dice?
[1]
There are 25 balls in a bag. This is is the probability distribution of their color:


0.80.2
redgreen
Color

How many green balls were in the bag?
[1]
A bag has 10 red balls and 10 blue balls. You take out 1 ball.
What is the probability of getting a red ball?
[1]
Roll 120 6-sided dice.
How many times would you expect to get a number less than 3?
[1]
A bag has 9 red balls and 10 blue balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]