Probability Powerplay
Level 6, 2026-07-30
A bag has 8 balls with numbers from 2 to 9. You take out 1 ball.
What is the probability of NOT getting the ball with the number 7?
[1]
Roll 36 6-sided dice.
How many times would you expect to get more than 3?
[1]
A bag has 3 balls with numbers from 2 to 4. You take out 1 ball.
What is the probability of NOT getting the ball with the number 5?
[1]
Roll 138 6-sided dice.
How many times would you expect to get an odd number?
[1]
Flip a coin 8 times.
Each time a head comes up you win $2 and with each tail you lose $1. How much money would you expect to make altogether?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 30, a 40% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 10 and a 30% chance of scoring a 30 and a 40% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A wheel has 8 yellow sections and 5 purple sections.
What is the probability of getting purple?
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
04
16
24
36
42
51

What is the probability of the humans to score more than 2?
[2]
A bag has 2 balls with numbers from 2 to 3. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 1?
[1]
We asked a group of humans how many Peaches they eat in a day. Here are the results:
Peacheshumans
03
14
24
34

What fraction of the humans eat exactly 4 Peaches in a day?
[2]
Flip a coin 12 times.
Each time a head comes up you win $2 and with each tail you lose $1. How much money would you expect to make altogether?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.90.1
purplered
Color

How many purple 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:


0.750.150.1
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]
A bag has 10 red balls, 4 blue balls and 3 yellow balls. You take out a yellow ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
You shoot an arrow at a target. You will either score 10 (50% chance), 30 (20% chance), or 60. What average score do you expect to get if you do this many times?
[1]
Roll 60 6-sided dice.
How many times would you expect to get an ugly number?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.60.30.1
pinkyellowpurple
Color

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