Probability Powerplay
Level 6, 2026-11-04
A group of humans did a math test and here are their scores out of 5:
Scorehumans
01
15
25
32
44
53

What fraction of the humans score less than 2?
[2]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.40.30.3
orangeredblue
Color

If you choose a random ball from the bag, what is the probability of it being orange?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.80.2
bluepurpleyellow
Color

If you choose a random ball from the bag, what is the probability of it not being yellow or purple?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
purplepink
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a purple sedan?
[2]
There are 24 balls in a bag. This is is the probability distribution of their color:


0.250.75
orangepurple
Color

How many orange balls were in the bag?
[1]
A group of boys did a math test and here are their scores out of 5:
Scoreboys
00
12
23
35
43
53

What fraction of the boys score less than 0?
[2]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.90.1
bluepurple
Color

How many blue balls were in the bag?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 20, a 20% 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]
The weather forecast says that the chances of rain are 20%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 90%.
What is the probability of getting wet today?
[1]
Flip 2 coins.
What is the probability of getting a head and a tail?
[1]
Flip a coin 4 times.
Each time a head comes up you win $3 and with each tail you lose $2. It costs $1 to play (paid once). How much money would you expect to make altogether?
[1]
A bag has 3 red balls, 9 green balls and 6 blue balls. You take out 1 ball.
What is the probability of getting a red ball or a green ball?
[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:


0.050.250.7
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 3?
[1]
A group of humans were timed running 100m. Here are the results:
humans

43425
1314151617
Time

What is the probability of the humans to run 100m in less than 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:


0.150.150.250.45
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 3?
[1]
Flip a coin 6 times.
Each time a Head comes up you win $4. It costs $8 to play (paid once). How much money would you expect to make altogether?
[1]