Probability Powerplay
Level 6, 2026-09-30
You shoot an arrow at a target. You will either score 20 (20% chance), 40 (40% chance), or 60. 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:
kids

Time13
145
154
164
176

What fraction of the kids run 100m in exactly 15s?
[2]
Roll 150 6-sided dice.
How many times would you expect to get anything except 2?
[1]
Flip a coin 12 times.
Each time a Head comes up you win $3. How much money would you expect to make altogether?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than 4?
[1]
We asked a group of humans how many Icecreams they eat in a month. Here are the results:
humans

533
0123
Icecreams

What is the probability of the humans to eat exactly 2 Icecreams in a month?
[2]
A wheel has 14 sections, each a number on it from 1 to 14. If you spin an odd number you win that amount of dollars, if you spin an even number you lose.
What prize do we expect to get if we spin the wheel?
[1]
There are 5 balls in a bag. This is is the probability distribution of their color:


0.80.2
yellowpurple
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:


0.60.250.050.1
12345
Number

What is the probability of rolling 4 or 5?
[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:


0.550.250.2
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 5?
[1]
A group of kids were timed running 100m. Here are the results:
kids

Time13
145
15
165
173

What is the probability of the kids to run 100m in exactly 15s?
[2]
The weather forecast says that the chances of rain are 80%. The chance of remembering your umbrella is 70%. Your chance of being outside today are 50%.
What is the probability of getting wet today?
[1]
A wheel has 4 purple sections and 8 yellow sections.
What is the probability of getting yellow?
[1]
We asked a group of kids how many Hot dogs they eat in a week. Here are the results:
Hot dogskids
00
12
20
30

What fraction of the kids eat exactly 0 Hot dogs in a week?
[2]
You shoot an arrow at a target. There is a 30% chance of scoring a 20 and a 20% chance of scoring a 40 and a 50% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
A bag has 4 red balls and 9 blue balls. You take out a red ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[1]