Probability Powerplay
Level 6, 2026-07-12
Roll 72 6-sided dice.
How many times would you expect to get an even number?
[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:


0.50.10.10.150.15
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

Score06
12
23
32
41
5

What is the probability of the kids to score more than 5?
[2]
A bag has 5 balls with numbers from 2 to 6. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 7?
[1]
We asked a group of kids how many Burgers they eat in a month. Here are the results:
kids

5543
0123
Burgers

What fraction of the kids eat more than 0 Burgers in a month?
[2]
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:


0.850.15
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
greenorange
Color

Probability of Type

0.30.7
sedanwagon
Type

What is the probability of a car being a orange sedan?
[2]
Roll 114 6-sided dice.
How many times would you expect to get anything except 3?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

Score05
15
25
36
46
51

What is the probability of the dogs to score less than 4?
[2]
Flip a coin 6 times.
Each time a head comes up you win $2 and with each tail you lose $1. It costs $1 to play (paid once). How much money would you expect to make altogether?
[1]
Roll 1 6-sided die.
What is the probability of getting a number smaller than or equal to 4?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 10, a 20% 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]
We asked a group of dogs how many Bowls of Ramen they eat in a day. Here are the results:
dogs

Bowls of Ramen02
14
23
31

What fraction of the dogs eat more than 1 Bowls of Ramen in a day?
[2]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.80.2
greenpurple
Color

How many green 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:


0.10.9
12345
Number

What is the probability of rolling a 4?
[1]