Probability Powerplay
Level 6, 2026-07-03
Flip a coin 18 times.
Each time a head comes up you win $1 and with each tail you lose $2. It costs $6 to play (paid once). How much money would you expect to make altogether?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

51631
1314151617
Time

What is the probability of the dogs to run 100m in less than 14s?
[2]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
02
14
24
31
45
52

What is the probability of the girls to score more than 2?
[2]
Flip 2 coins.
What is the probability of getting a head and a tail?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 50% 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]
A wheel has 2 yellow sections and 3 red sections.
What is the probability of getting red?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number less than 6 and a tail?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.40.30.3
yellowbluered
Color

How many yellow balls were in the bag?
[1]
Flip a coin 18 times.
Each time a head comes up you win $2 and with each tail you lose $3. 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:


0.20.10.050.20.45
12345
Number

What is the probability of rolling a number that is bigger than 3?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.50.40.1
purplegreenyellow
Color

How many green balls were in the bag?
[1]
A bag has 11 balls with numbers from 2 to 12. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 11?
[1]
A bag has 7 balls with numbers from 5 to 11. You take out 1 ball.
What is the probability of getting a ball with a number more than 6?
[1]
Roll 120 6-sided dice.
How many times would you expect to get a number less than 1?
[1]
We asked a group of humans how many Burgers they eat in a month. Here are the results:
Burgershumans
00
10
24
31

What fraction of the humans eat exactly 2 Burgers in a month?
[2]
Flip 7 coins.
What is the probability of getting 7 tails?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.50.20.3
redgreenpurple
Color

If you choose a random ball from the bag, what is the probability of it being purple or green?
[1]