Probability Powerplay
Level 6, 2026-10-22
A bag has 2 red balls and 10 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
Roll 30 6-sided dice.
How many times would you expect to get anything except 6?
[1]
A group of humans were timed running 100m. Here are the results:
humans

Time132
145
156
163
174

What is the probability of the humans to run 100m in exactly 13s?
[2]
Roll 150 6-sided dice.
How many times would you expect to get a number more than 4?
[1]
Flip 2 coins.
What is the probability of getting 2 tails?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.30.7
greenredorange
Color

If you choose a random ball from the bag, what is the probability of it not being red or orange?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

Time134
144
153
16
171

What is the probability of the dogs to run 100m in more than 15s?
[2]
A bag has 5 balls with numbers from 4 to 8. You take out 1 ball.
What is the probability of NOT getting the ball with the number 8?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than 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:


0.40.050.050.250.25
12345
Number

What is the probability of rolling a number from 3 to 4?
[1]
There are 8 balls in a bag. This is is the probability distribution of their color:


0.50.5
purpleyellow
Color

How many purple balls were in the bag?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number equal to 2 and a tail?
[1]
Flip a coin 16 times.
Each time a Tail comes up you win $4. It costs $20 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:
Timedogs
135
142
153
163
172

What fraction of the dogs run 100m in exactly 17s?
[2]
A wheel has 8 sections, each has a reward in dollars, from $1 through to $8.
What prize do we expect to get if we spin the wheel?
[1]
You flip a coin and roll a 9 sided die.
What is the probability of getting a 6 and a head?
[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:


0.750.10.050.1
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]