Probability Powerplay
Level 6, 2026-08-21
We asked a group of humans how many Bananas they eat in a week. Here are the results:
humans

Bananas01
12
23
36

What is the probability of the humans to eat exactly 4 Bananas in a week?
[2]
A bag has 3 balls with number 2 and 7 balls with a number 6. What will be the average of the numbers of the balls taken out of the bag
[1]
An obstacle course has 1 Fences and 1 Ditches. You have a 100% chance of clearing a Fence and a 100% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Flip 7 coins.
What is the probability of getting 7 tails?
[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:


0.050.20.150.6
12345
Number

What is the probability of rolling 1 or 5?
[1]
A bag has 8 balls with numbers from 4 to 11. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 6?
[1]
The chances of feeling like icecream are 80%. The chances of being near an icecream store are 90%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.10.9
yellowred
Color

How many red balls were in the bag?
[1]
Roll 138 6-sided dice.
How many times would you expect to get anything except 5?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.10.9
blueyellow
Color

How many yellow 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:


0.250.250.10.4
12345
Number

What is the probability of rolling a number from 1 to 2?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 20 and a 30% chance of scoring a 40 and a 40% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A group of kids were timed running 100m. Here are the results:
Timekids
136
141
153
163
176

What fraction of the kids run 100m in more than 16s?
[2]
You shoot an arrow at a target. You will either score 10 (30% chance), 30 (10% chance), or 60. What average score do you expect to get if you do this many times?
[1]
A bag has 10 red balls and 3 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]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 3 or a 5 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:


0.550.150.150.15
12345
Number

What is the probability of rolling a number that is bigger than 2?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.10.20.7
yellowblueorange
Color

If you choose a random ball from the bag, what is the probability of it not being yellow?
[1]