Probability Powerplay
Level 6, 2026-02-27
Roll 96 6-sided dice.
How many times would you expect to get less than or equal to 3?
[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:


0.250.10.150.150.35
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.10.50.4
orangepinkpurple
Color

If you choose a random ball from the bag, what is the probability of it not being pink?
[1]
You shoot an arrow at a target. There is a 70% chance of scoring a 20 and a 30% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 20 and a 20% chance of scoring a 30 and a 40% chance of scoring a 60. 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:


0.40.20.150.20.05
12345
Number

What is the probability of rolling a number that is smaller than 2?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than 4?
[1]
Roll 6 6-sided dice.
How many times would you expect to get less than or equal to 4?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.70.3
purpleorangeyellow
Color

If you choose a random ball from the bag, what is the probability of it being purple?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.40.50.1
redpinkyellow
Color

If you choose a random ball from the bag, what is the probability of it being yellow or pink?
[1]
Roll 84 6-sided dice.
How many times would you expect to get a number more than 4?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.10.9
yellowred
Color

How many red balls were in the bag?
[1]
Roll 108 6-sided dice.
How many times would you expect to get more than 6?
[1]
A bag has 4 balls with number 2 and 6 balls with a number 1. 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:


0.250.10.150.5
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 4?
[1]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
05
10
20
35
41
53

What is the probability of the girls to score more than 2?
[2]
A group of kids did a math test and here are their scores out of 5:
kids

Score02
1
25
35
4
5

What is the probability of the kids to score exactly 3?
[2]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.20.50.3
purplegreenorange
Color

If you choose a random ball from the bag, what is the probability of it not being green?
[1]