Probability Powerplay
Level 6, 2026-05-31
Flip a coin 6 times.
Each time a Head comes up you win $4. How much money would you expect to make altogether?
[1]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 80%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]
A bag has 10 balls with numbers from 3 to 12. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 10?
[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:


0.050.250.20.5
12345
Number

What is the probability of rolling a number from 3 to 5?
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
02
14
23
32
43
54

What is the probability of the humans to score exactly 0?
[2]
A bag has 5 red balls and 4 blue balls. You take out a red ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[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:


0.70.10.150.05
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
Roll 90 6-sided dice.
How many times would you expect to get less than 5?
[1]
A group of dogs were timed running 100m. Here are the results:
Timedogs
131
143
156
164
175

What is the probability of the dogs to run 100m in exactly 16s?
[2]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are less than 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:


0.350.050.150.20.25
12345
Number

What is the probability of rolling a number that is smaller than 1?
[1]
An obstacle course has 1 Fences and 1 Ditches. You have a 80% 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]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.60.10.3
pinkpurpleblue
Color

How many blue balls were in the bag?
[1]
You shoot an arrow at a target. You will either score 20 (10% chance), 40 (10% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A wheel has 7 sections, each a different color.
What is the probability of getting purple?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 6 or a 5 and a head?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.40.40.2
orangebluepink
Color

If you choose a random ball from the bag, what is the probability of it not being pink or blue?
[1]
Roll 90 6-sided dice.
How many times would you expect to get an odd number?
[1]