Probability Powerplay
Level 6, 2026-07-26
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than or equal to 2?
[1]
A bag has 4 red balls and 9 blue balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 6 or a 3 and a head?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.30.20.5
greenredpurple
Color

How many purple balls were in the bag?
[1]
Flip a coin 10 times.
Each time a head comes up you win $4 and with each tail you lose $2. It costs $8 to play (paid once). How much money would you expect to make altogether?
[1]
A bag has 3 red balls, 10 blue balls and 9 yellow balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting yellow 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:


0.550.150.250.05
12345
Number

What is the probability of rolling a number that is bigger than 3?
[1]
Flip a coin 14 times.
Each time a head comes up you win $3 and with each tail you lose $1. How much money would you expect to make altogether?
[1]
Roll 114 6-sided dice.
How many times would you expect to get less than or equal to 3?
[1]
You shoot an arrow at a target. There is a 70% chance of scoring a 30 and a 30% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.80.2
yellowpinkorange
Color

If you choose a random ball from the bag, what is the probability of it being yellow?
[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:


0.550.050.150.25
12345
Number

What is the probability of rolling 4 or 5?
[1]
A wheel has 8 sections, 2 of each color.
What is the probability of getting orange?
[1]
A group of kids were timed running 100m. Here are the results:
Timekids
133
140
151
164
174

What fraction of the kids run 100m in exactly 14s?
[2]
Roll 18 6-sided dice.
How many times would you expect to get an ugly number?
[1]
A group of dogs were timed running 100m. Here are the results:
Timedogs
135
143
152
164
171

What fraction of the dogs run 100m in exactly 16s?
[2]
A group of people did a math test and here are their scores out of 5:
people

43425
012345
Score

What is the probability of the people to score exactly 0?
[2]