Probability Powerplay
Level 6, 2026-09-08
There are 20 balls in a bag. This is is the probability distribution of their color:


0.20.50.3
greenyelloworange
Color

How many orange balls were in 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:


0.150.150.7
12345
Number

What is the probability of rolling a 4?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.10.20.7
greenorangepurple
Color

How many purple balls were in the bag?
[1]
Roll 2 6-sided dice.
You add the two numbers. What is the probability of getting 2?
[1]
A bag has 9 balls with number 8 and 6 balls with a number 1. What will be the average of the numbers of the balls taken out of the bag
[1]
You roll a 3 sided die and a 7 sided die.
What is the probability of getting 3 on both dice?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are less than 3?
[1]
We asked a group of kids how many Hot dogs they eat in a week. Here are the results:
kids

Hot dogs03
15
2
3

What is the probability of the kids to eat exactly 0 Hot dogs in a week?
[2]
You shoot an arrow at a target. There is a 30% chance of scoring a 10 and a 20% chance of scoring a 30 and a 50% chance of scoring a 50. What average score do you expect to get if you do this many times?
[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:


0.250.10.65
12345
Number

What is the probability of rolling 1 or 5?
[1]
A wheel has 8 sections, each has a reward in dollars, from $1 through to $8.
What prize do we expect to get if we spin the wheel?
[1]
Flip a coin 10 times.
Each time a head comes up you win $1 and with each tail you lose $1. 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:


0.750.20.05
12345
Number

What is the probability of rolling a number from 2 to 4?
[1]
We asked a group of girls how many Apples they eat in a month. Here are the results:
Applesgirls
02
16
21
35

What fraction of the girls eat less than 2 Apples in a month?
[2]
A wheel has 6 purple sections and 3 pink sections.
What is the probability of getting pink?
[1]
The weather forecast says that the chances of rain are 80%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 40%.
What is the probability of getting wet today?
[1]
Roll 138 6-sided dice.
How many times would you expect to get a number more than 5?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than or equal to 5?
[1]