Probability Powerplay
Level 6, 2026-07-11
There are 12 balls in a bag. This is is the probability distribution of their color:


0.750.25
yellowblue
Color

How many yellow balls were in the bag?
[1]
A bag has 8 red balls and 3 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.40.50.1
blueredorange
Color

If you choose a random ball from the bag, what is the probability of it being red?
[1]
A group of people did a math test and here are their scores out of 5:
people

21262
012345
Score

What is the probability of the people to score exactly 0?
[2]
A group of dogs were timed running 100m. Here are the results:
dogs

3655
1314151617
Time

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

Probability of Color

0.20.8
greenorange
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a orange sedan?
[2]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.80.2
greenpinkorange
Color

If you choose a random ball from the bag, what is the probability of it not being orange?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

212644
012345
Score

What is the probability of the boys to score less than 2?
[2]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are even?
[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:


0.550.250.2
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 5?
[1]
Roll 1 6-sided die.
What is the probability of getting an odd number?
[1]
The chances of feeling like icecream are 50%. The chances of being near an icecream store are 50%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

Score03
13
24
32
46
55

What is the probability of the dogs to score more than 1?
[2]
Flip a coin 2 times.
Each time a head comes up you win $1 and with each tail you lose $2. How much money would you expect to make altogether?
[1]
A bag has 5 red balls and 7 blue balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]