Probability Powerplay
Level 6, 2026-07-31
There are 50 balls in a bag. This is is the probability distribution of their color:


0.80.10.1
greenredyellow
Color

If you choose a random ball from the bag, what is the probability of it not being green or red?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

444
1314151617
Time

What is the probability of the dogs to run 100m in exactly 16s?
[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:


0.250.20.250.3
12345
Number

What is the probability of rolling a number from 4 to 5?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than or equal to 2?
[1]
A group of girls were timed running 100m. Here are the results:
Timegirls
132
141
150
161
170

What fraction of the girls run 100m in less than 13s?
[2]
You shoot an arrow at a target. There is a 50% chance of scoring a 20, a 40% 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]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number more than 5 and a tail?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

Score05
16
25
32
46
52

What is the probability of the humans to score more than 5?
[2]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.10.40.5
purpleredorange
Color

If you choose a random ball from the bag, what is the probability of it not being red or orange?
[1]
A wheel has 12 sections, each has a reward in dollars, from $1 through to $12.
What prize do we expect to get if we spin the wheel?
[1]
Flip a coin 18 times.
Each time a Tail comes up you win $2. How much money would you expect to make altogether?
[1]
The weather forecast says that the chances of rain are 30%. Your chance of being outside today is 40%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.20.50.3
pinkpurplegreen
Color

How many purple balls were in the bag?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number equal to 5 and a head?
[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:


0.250.10.10.20.35
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.40.6
pinkyellowblue
Color

How many blue balls were in the bag?
[1]
You shoot an arrow at a target. There is a 20% chance of scoring a 10 and a 20% chance of scoring a 40 and a 60% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]