Probability Powerplay
Level 6, 2026-02-23
You shoot an arrow at a target. There is a 60% chance of scoring a 30, a 30% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
A bag has 2 red balls and 7 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]
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 70%.
What is the probability of getting wet today?
[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:


0.650.20.050.1
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 4?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.80.2
redpurple
Color

How many red balls were in the bag?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.80.2
purplegreen
Color

How many green balls were in the bag?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

1
bluepurple
Color

Probability of Type

0.50.5
sedanwagon
Type

What is the probability of a car being a purple sedan?
[2]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.10.50.4
pinkyellowblue
Color

If you choose a random ball from the bag, what is the probability of it being yellow or pink?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.20.30.5
pinkgreenpurple
Color

If you choose a random ball from the bag, what is the probability of it not being green?
[1]
Roll 30 6-sided dice.
How many times would you expect to get less than 4?
[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:


0.650.20.050.1
12345
Number

What is the probability of rolling 3 or 4?
[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:


0.60.10.150.15
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[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:


0.20.150.20.45
12345
Number

What is the probability of rolling a number that is bigger than 2?
[1]
A group of kids were timed running 100m. Here are the results:
kids

355
1314151617
Time

What is the probability of the kids to run 100m in exactly 16s?
[2]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
03
16
21
35
42
51

What is the probability of the humans to score exactly 5?
[2]
You shoot an arrow at a target. There is a 60% chance of scoring a 20, a 30% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
A bag has 5 red balls, 7 blue balls and 9 yellow 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]