Probability Powerplay
Level 6, 2026-02-24
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]
A group of people did a math test and here are their scores out of 5:
people

33565
012345
Score

What fraction of the people score more than 4?
[2]
You shoot an arrow at a target. You will either score 20 (50% chance), 30 (20% chance), or 50. What average score do you expect to get if you do this many times?
[1]
Roll 90 6-sided dice.
How many times would you expect to get more than 6?
[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:


0.450.150.150.25
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 4?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.50.20.3
purpleorangeyellow
Color

If you choose a random ball from the bag, what is the probability of it being yellow or purple?
[1]
A group of boys were timed running 100m. Here are the results:
boys

54533
1314151617
Time

What fraction of the boys run 100m in exactly 14s?
[2]
Flip a coin 6 times.
Each time a head comes up you win $2 and with each tail you lose $4. How much money would you expect to make altogether?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.20.8
redorange
Color

How many orange balls were in the bag?
[1]
We asked a group of humans how many Burgers they eat in a week. Here are the results:
Burgershumans
05
10
24
31

What is the probability of the humans to eat less than 4 Burgers in a week?
[2]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.20.40.4
pinkorangeyellow
Color

If you choose a random ball from the bag, what is the probability of it not being pink or yellow?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.60.4
greenbluepink
Color

If you choose a random ball from the bag, what is the probability of it not being green?
[1]
Roll 150 6-sided dice.
How many times would you expect to get less than or equal to 6?
[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:


0.550.10.250.1
12345
Number

What is the probability of rolling a number that is bigger than 1?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 6?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 3 or a 6 and a head?
[1]
There are 28 balls in a bag. This is is the probability distribution of their color:


0.750.25
purplegreen
Color

How many purple balls were in the bag?
[1]