Probability Powerplay
Level 6, 2026-08-15
A bag has 6 balls with number 7 and 8 balls with a number 2. You take out 1 ball.
What is the probability of getting the ball with the number 7?
[1]
A bag has 4 balls with number 3 and 8 balls with a number 7. You take out 1 ball.
What is the probability of getting the ball with the number 7?
[1]
You shoot an arrow at a target. You will either score 20 (30% chance), 40 (30% chance), or 60. What average score do you expect to get if you do this many times?
[1]
Flip a coin 14 times.
Each time a Tail comes up you win $1. How much money would you expect to make altogether?
[1]
Roll 1 6-sided die.
What is the probability of getting an odd number?
[1]
You shoot an arrow at a target. You will either score 20 (40% chance), 40 (30% chance), or 50. What average score do you expect to get if you do this many times?
[1]
Roll 2 6-sided dice.
You add the two numbers. What is the probability of getting 2?
[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:


0.250.20.050.5
12345
Number

What is the probability of rolling a number from 2 to 4?
[1]
You roll a 8 sided die and a 10 sided die.
What is the probability of getting 9 on both dice?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.50.5
yelloworange
Color

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


0.70.050.20.05
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
A bag has 3 balls with number 9 and 5 balls with a number 6. You take out 1 ball.
What is the probability of getting the ball with the number 6?
[1]
A group of people were timed running 100m. Here are the results:
Timepeople
136
140
153
162
175

What fraction of the people run 100m in more than 16s?
[2]
A bag has 9 balls with numbers from 1 to 9. You take out 1 ball.
What is the probability of NOT getting the ball with the number 2?
[1]
Flip a coin 12 times.
Each time a Tail comes up you win $2. How much money would you expect to make altogether?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.60.4
greenorangeblue
Color

If you choose a random ball from the bag, what is the probability of it being orange?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

Score02
16
25
32
45
52

What is the probability of the dogs to score exactly 5?
[2]