Probability Powerplay
Level 6, 2026-07-28
You shoot an arrow at a target. There is a 10% chance of scoring a 10 and a 20% chance of scoring a 40 and a 70% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
Flip 3 coins.
What is the probability of getting 3 heads?
[1]
A bag has 6 balls with number 8 and 5 balls with a number 7. You take out 1 ball.
What is the probability of getting the ball with the number 8?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.60.20.2
greenredpurple
Color

If you choose a random ball from the bag, what is the probability of it not being red or purple?
[1]
We asked a group of boys how many Icecreams they eat in a day. Here are the results:
boys

3421
0123
Icecreams

What is the probability of the boys to eat exactly 4 Icecreams in a day?
[2]
Roll 12 6-sided dice.
How many times would you expect to get more than 3?
[1]
There are 8 balls in a bag. This is is the probability distribution of their color:


0.250.75
pinkblue
Color

How many blue 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:


0.20.150.65
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 5?
[1]
A bag has 10 balls with numbers from 2 to 11. You take out 1 ball.
What is the probability of NOT getting the ball with the number 6?
[1]
Roll a die 66 times.
How many times would you expect to get a 3?
[1]
An obstacle course has 1 Fences and 2 Ditches. You have a 80% 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]
Roll 138 6-sided dice.
How many times would you expect to get an odd number?
[1]
Roll 6 6-sided dice.
How many times would you expect to get anything except 5?
[1]
A group of humans were timed running 100m. Here are the results:
humans

Time134
142
156
164
173

What is the probability of the humans to run 100m in exactly 17s?
[2]
A bag has 9 balls with numbers from 2 to 10. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 7?
[1]
A bag has 5 red balls, 9 green balls and 4 blue balls. You take out 1 ball.
What is the probability of NOT getting a green ball?
[1]
We asked a group of humans how many Peaches they eat in a week. Here are the results:
humans

16
0123
Peaches

What fraction of the humans eat more than 0 Peaches in a week?
[2]