Probability Powerplay
Level 6, 2026-07-29
A wheel has 2 green sections and 3 orange sections.
What is the probability of getting green?
[1]
Flip 3 coins.
What is the probability of getting 3 tails?
[1]
You shoot an arrow at a target. You will either score 10 (50% chance), 30 (10% chance), or 50. What average score do you expect to get if you do this many times?
[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 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:


0.550.250.150.05
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 2?
[1]
We asked a group of boys how many Peaches they eat in a day. Here are the results:
boys

4264
0123
Peaches

What is the probability of the boys to eat more than 0 Peaches in a day?
[2]
Roll 42 6-sided dice.
How many times would you expect to get an ugly number?
[1]
A bag has 6 balls with number 9 and 2 balls with a number 3. What will be the average of the numbers of the balls taken out of the bag
[1]
Roll 54 6-sided dice.
How many times would you expect to get anything except 5?
[1]
A group of boys were timed running 100m. Here are the results:
boys

Time136
146
155
161
17

What is the probability of the boys to run 100m in exactly 16s?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 1 or a 2 and a head or a tail?
[1]
A group of people were timed running 100m. Here are the results:
people

Time133
145
154
16
173

What fraction of the people run 100m in more than 16s?
[2]
We asked a group of people how many Apples they eat in a week. Here are the results:
people

Apples05
1
21
31

What fraction of the people eat less than 4 Apples in a week?
[2]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.40.20.4
purpleorangegreen
Color

If you choose a random ball from the bag, what is the probability of it not being orange or green?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.70.3
blueyelloworange
Color

How many blue balls were in the bag?
[1]
Roll 54 6-sided dice.
How many times would you expect to get an even number?
[1]