Probability Powerplay
Level 6, 2026-05-21
The weather forecast says that the chances of rain are 20%. The chance of remembering your umbrella is 70%. Your chance of being outside today are 70%.
What is the probability of getting wet today?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.20.8
yellowgreen
Color

Probability of Type

0.10.9
wagonsedan
Type

What is the probability of a car being a yellow sedan?
[2]
A group of kids were timed running 100m. Here are the results:
kids

Time131
143
153
161
172

What is the probability of the kids to run 100m in exactly 15s?
[2]
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:


0.10.250.65
12345
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 5?
[1]
A bag has 10 balls with numbers from 3 to 12. You take out 1 ball.
What is the probability of NOT getting the ball with the number 12?
[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:


0.60.10.250.05
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 4?
[1]
A bag has 9 balls with numbers from 3 to 11. You take out 1 ball.
What is the probability of NOT getting the ball with the number 6?
[1]
Roll 18 6-sided dice.
How many times would you expect to get more than 1?
[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 1 or smaller than 2?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
00
15
24
30
45
51

What fraction of the dogs score exactly 2?
[2]
A group of humans did a math test and here are their scores out of 5:
humans

Score06
11
26
33
44
53

What fraction of the humans score less than 0?
[2]
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:


0.250.75
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
Roll 30 6-sided dice.
How many times would you expect to get an odd number?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number less than 5 and a head?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 90% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Roll 114 6-sided dice.
How many times would you expect to get less than 3?
[1]