Probability Powerplay
Level 6, 2026-10-28
Roll 42 6-sided dice.
How many times would you expect to get a number less than 6?
[1]
Roll 60 6-sided dice.
How many times would you expect to get a number less than 0?
[1]
Flip a coin 10 times.
Each time a head comes up you win $2 and with each tail you lose $2. How much money would you expect to make altogether?
[1]
There are 5 balls in a bag. This is is the probability distribution of their color:


0.20.8
yelloworange
Color

How many yellow balls were in the bag?
[1]
Roll 144 6-sided dice.
How many times would you expect to get more than 2?
[1]
A bag has 3 red balls, 8 green balls and 5 blue balls. You take out 1 ball.
What is the probability of NOT getting a blue ball?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number less than 1 and a tail?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 30, a 20% chance of scoring a 40, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
A group of people did a math test and here are their scores out of 5:
people

64255
012345
Score

What fraction of the people score more than 4?
[2]
A bag has 3 balls with numbers from 2 to 4. You take out 1 ball.
What is the probability of getting a ball with a number less than 5?
[1]
Roll 114 6-sided dice.
How many times would you expect to get anything except 5?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

22623
012345
Score

What fraction of the girls score exactly 1?
[2]
We asked a group of people how many Burgers they eat in a week. Here are the results:
people

415
0123
Burgers

What is the probability of the people to eat more than 0 Burgers in a week?
[2]
A group of people were timed running 100m. Here are the results:
Timepeople
136
142
152
160
171

What fraction of the people run 100m in exactly 15s?
[2]
You shoot an arrow at a target. There is a 70% chance of scoring a 10 and a 30% chance of scoring a 40. What average score do you expect to get if you do this many times?
[1]
Roll 18 6-sided dice.
How many times would you expect to get less than 6?
[1]