Probability Powerplay
Level 6, 2026-06-25
A bag has 5 red balls and 3 blue balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting red 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:


0.20.10.250.20.25
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]
Roll 30 6-sided dice.
How many times would you expect to get an even number?
[1]
A group of people did a math test and here are their scores out of 5:
people

Score01
12
26
34
41
55

What fraction of the people score exactly 3?
[2]
An obstacle course has 2 Fences and 1 Ditches. You have a 90% chance of clearing a Fence and a 100% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Flip a coin 8 times.
Each time a head comes up you win $4 and with each tail you lose $2. It costs $3 to play (paid once). How much money would you expect to make altogether?
[1]
We asked a group of dogs how many Popsicles they eat in a day. Here are the results:
dogs

12
0123
Popsicles

What fraction of the dogs eat exactly 2 Popsicles in a day?
[2]
Roll 1 6-sided die.
What is the probability of getting an even number?
[1]
There are 24 balls in a bag. This is is the probability distribution of their color:


0.50.5
redpink
Color

How many red balls were in the bag?
[1]
The weather forecast says that the chances of rain are 80%. Your chance of being outside today is 80%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]
A bag has 10 red balls and 6 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.10.50.4
redbluepurple
Color

How many red balls were in the bag?
[1]
Roll 102 6-sided dice.
How many times would you expect to get anything except 5?
[1]
A group of boys were timed running 100m. Here are the results:
boys

65343
1314151617
Time

What is the probability of the boys to run 100m in less than 13s?
[2]
A wheel has 8 sections, each a number on it from 1 to 8. If you spin an even number you win that amount of dollars, if you spin an odd number you lose.
What prize do we expect to get if we spin the wheel?
[1]
Roll 108 6-sided dice.
How many times would you expect to get an odd number?
[1]
Roll 1 6-sided die.
What is the probability of getting an odd number?
[1]