Probability Powerplay
Level 6, 2026-09-12
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:


0.40.050.20.10.25
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 4?
[1]
The weather forecast says that the chances of rain are 60%. The chance of remembering your umbrella is 70%. Your chance of being outside today are 90%.
What is the probability of getting wet today?
[1]
You roll a 5 sided die and a 7 sided die.
What is the probability of getting 4 on both dice?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
134
145
150
164
170

What is the probability of the boys to run 100m in less than 14s?
[2]
Roll a die 12 times.
How many times would you expect to get a 1?
[1]
There are 16 balls in a bag. This is is the probability distribution of their color:


0.250.75
pinkblue
Color

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

36262
1314151617
Time

What fraction of the people run 100m in exactly 16s?
[2]
Flip a coin 4 times.
Each time a Tail comes up you win $3. How much money would you expect to make altogether?
[1]
A group of kids were timed running 100m. Here are the results:
kids

2633
1314151617
Time

What fraction of the kids run 100m in exactly 15s?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

1
bluepurple
Color

Probability of Type

0.20.8
wagonsedan
Type

What is the probability of a car being a purple sedan?
[2]
We asked a group of humans how many Chocolates they eat in a week. Here are the results:
humans

Chocolates06
12
26
3

What fraction of the humans eat exactly 1 Chocolates in a week?
[2]
A bag has 10 balls with numbers from 3 to 12. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 11?
[1]
A bag has 4 balls with numbers from 1 to 4. You take out 1 ball.
What is the probability of getting the ball with the number 5?
[1]
There are 28 balls in a bag. This is is the probability distribution of their color:


0.250.75
redorange
Color

How many orange balls were in the bag?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 10 and a 40% chance of scoring a 40 and a 30% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]