Probability Powerplay
Level 6, 2026-07-07
A bag has 3 red balls and 2 blue balls. You take out 1 blue ball, then another ball.
What is the probability of getting blue for the second ball?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 10, a 30% 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 boys did a math test and here are their scores out of 5:
boys

34626
012345
Score

What fraction of the boys score exactly 4?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number equal to 2 and a tail?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 20 and a 40% chance of scoring a 40 and a 20% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
The weather forecast says that the chances of rain are 60%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 80%.
What is the probability of getting wet today?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 5 and a head?
[1]
Roll 144 6-sided dice.
How many times would you expect to get less than 5?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.60.20.2
blueyelloworange
Color

If you choose a random ball from the bag, what is the probability of it being orange or blue?
[1]
You shoot an arrow at a target. There is a 10% chance of scoring a 10 and a 10% chance of scoring a 30 and a 80% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.20.30.5
orangeyellowgreen
Color

How many orange 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:


0.50.10.20.2
12345
Number

What is the probability of rolling a number from 1 to 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:


0.250.250.5
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
A bag has 6 balls with numbers from 4 to 9. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 6?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.20.40.4
redbluepurple
Color

If you choose a random ball from the bag, what is the probability of it being red or blue?
[1]
A bag has 7 balls with number 8 and 7 balls with a number 3. What will be the average of the numbers of the balls taken out of 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:


0.50.20.150.15
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
A group of people did a math test and here are their scores out of 5:
people

24451
012345
Score

What is the probability of the people to score less than 2?
[2]