Probability Powerplay
Level 6, 2026-11-14
A wheel has 8 orange sections and 8 red sections.
What is the probability of getting orange?
[1]
An obstacle course has 1 Fences and 2 Ditches. You have a 80% chance of clearing a Fence and a 80% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 20, a 30% chance of scoring a 50, or you might miss completely and score 0. 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 70%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 50%.
What is the probability of getting wet today?
[1]
A wheel has 13 sections, each a number on it from 1 to 13. If you spin an odd number you win that amount of dollars, if you spin an even number you lose.
What prize do we expect to get if we spin the wheel?
[1]
There are 14 balls in a bag. This is is the probability distribution of their color:


0.50.5
greenpurple
Color

How many purple balls were in the bag?
[1]
Roll 120 6-sided dice.
How many times would you expect to get more than or equal to 5?
[1]
Roll 60 6-sided dice.
How many times would you expect to get less than or equal to 4?
[1]
A group of girls were timed running 100m. Here are the results:
girls

Time133
145
156
164
174

What fraction of the girls run 100m in exactly 13s?
[2]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than 6?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
purplered
Color

Probability of Type

0.30.7
wagonsedan
Type

What is the probability of a car being a purple sedan?
[2]
A bag has 6 red balls and 10 blue balls. You take out 1 blue ball, then another ball.
What is the probability of getting blue for the second ball?
[1]
An obstacle course has 1 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]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.50.30.2
greenbluered
Color

How many green balls were in the bag?
[1]
A group of humans were timed running 100m. Here are the results:
humans

Time136
142
156
166
17

What is the probability of the humans to run 100m in exactly 15s?
[2]
A group of kids did a math test and here are their scores out of 5:
Scorekids
05
14
21
31
44
54

What is the probability of the kids to score more than 2?
[2]