Probability Powerplay
Level 6, 2026-08-09
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:


0.50.150.150.2
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 4?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number more than 5 and a head?
[1]
A bag has 4 red balls, 3 green balls and 3 blue balls. You take out 1 ball.
What is the probability of getting a green ball or a blue ball?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 1 and a tail?
[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:


0.50.150.10.10.15
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 1?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

Time135
144
155
163
174

What fraction of the dogs run 100m in less than 17s?
[2]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
00
11
21
36
42
52

What fraction of the humans score exactly 4?
[2]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.80.2
pinkblue
Color

How many pink balls were in the bag?
[1]
There are 6 balls in a bag. This is is the probability distribution of their color:


0.50.5
greenpurple
Color

How many green balls were in the bag?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number more than 3 and a tail?
[1]
Roll 90 6-sided dice.
How many times would you expect to get anything except 1?
[1]
We asked a group of dogs how many Burgers they eat in a day. Here are the results:
dogs

Burgers04
1
26
35

What fraction of the dogs eat exactly 3 Burgers in a day?
[2]
Flip a coin 6 times.
Each time a head comes up you win $3 and with each tail you lose $3. How much money would you expect to make altogether?
[1]
A wheel has 6 yellow sections and 2 orange sections.
What is the probability of getting orange?
[1]
A bag has 2 balls with number 1 and 9 balls with a number 5. You take out 1 ball.
What is the probability of getting the ball with the number 1?
[1]
We asked a group of dogs how many Oranges they eat in a month. Here are the results:
dogs

1561
0123
Oranges

What fraction of the dogs eat exactly 2 Oranges in a month?
[2]