Probability Powerplay
Level 6, 2026-05-17
Roll 2 6-sided dice.
What is the probability of getting a 6 on both dice?
[1]
You roll a 7 sided die and a 8 sided die.
What is the probability of getting 2 on both dice?
[1]
Flip a coin 8 times.
Each time a head comes up you win $1 and with each tail you lose $1. How much money would you expect to make altogether?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.20.8
purpleblue
Color

How many blue 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:


0.250.10.65
12345
Number

What is the probability of rolling a 4?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 20 and a 40% chance of scoring a 40 and a 30% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

Score06
11
24
31
45
54

What fraction of the kids score exactly 5?
[2]
A group of people did a math test and here are their scores out of 5:
Scorepeople
03
14
21
31
43
54

What fraction of the people score more than 5?
[2]
A bag has 2 balls with number 9 and 2 balls with a number 1. What will be the average of the numbers of the balls taken out of the bag
[1]
You flip a coin and roll a 7 sided die.
What is the probability of getting a 5 and a tail?
[1]
A bag has 8 balls with numbers from 2 to 9. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 9?
[1]
A group of boys were timed running 100m. Here are the results:
boys

5134
1314151617
Time

What fraction of the boys run 100m in more than 17s?
[2]
A bag has 5 balls with number 7 and 2 balls with a number 5. What will be the average of the numbers of the balls taken out of the bag
[1]
Flip 1 coin.
What is the probability of getting a head?
[1]
An obstacle course has 1 Fences and 1 Ditches. You have a 90% chance of clearing a Fence and a 90% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A wheel has 8 orange sections and 7 green sections.
What is the probability of getting orange?
[1]
Roll 18 6-sided dice.
How many times would you expect to get less than or equal to 6?
[1]