Probability Powerplay
Level 6, 2026-09-15
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 smaller than or equal to 3?
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
02
14
21
32
44
52

What fraction of the humans score exactly 4?
[2]
We asked a group of people how many Apples they eat in a week. Here are the results:
people

5165
0123
Apples

What fraction of the people eat more than 1 Apples in a week?
[2]
A bag has 9 balls with numbers from 3 to 11. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 12?
[1]
Roll 150 6-sided dice.
How many times would you expect to get an odd number?
[1]
Flip a coin 2 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]
An obstacle course has 1 Fences and 2 Ditches. You have a 90% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 1 and a tail?
[1]
Flip a coin 16 times.
Each time a Tail comes up you win $2. It costs $28 to play (paid once). How much money would you expect to make altogether?
[1]
A wheel has 6 sections, each has a reward in dollars, from $1 through to $6.
What prize do we expect to get if we spin the wheel?
[1]
Flip a coin 6 times.
Each time a head comes up you win $2 and with each tail you lose $4. 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:


0.250.250.10.20.2
12345
Number

What is the probability of rolling 4 or 5?
[1]
Flip a coin 10 times.
Each time a Head comes up you win $4. How much money would you expect to make altogether?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

Score03
15
21
35
41
51

What fraction of the kids score less than 0?
[2]
A group of dogs did a math test and here are their scores out of 5:
dogs

Score04
16
22
31
42
53

What is the probability of the dogs to score exactly 3?
[2]
You shoot an arrow at a target. There is a 50% chance of scoring a 20, 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]