Probability Powerplay
Level 6, 2026-10-07
There are 55 balls in a bag. This is is the probability distribution of their color:


0.80.2
yellowblue
Color

How many yellow balls were in the bag?
[1]
We asked a group of humans how many Pizzas they eat in a week. Here are the results:
humans

2163
0123
Pizzas

What is the probability of the humans to eat exactly 4 Pizzas in a week?
[2]
You flip a coin and roll a 5 sided die.
What is the probability of getting a 4 and a head?
[1]
Roll 24 6-sided dice.
How many times would you expect to get an even number?
[1]
Roll 24 6-sided dice.
How many times would you expect to get less than 1?
[1]
A wheel has 8 orange sections and 7 red sections.
What is the probability of getting red?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
greenorange
Color

Probability of Type

0.30.7
wagonsedan
Type

What is the probability of a car being a green sedan?
[2]
Roll 84 6-sided dice.
How many times would you expect to get less than 4?
[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:


0.350.150.20.050.25
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 20 and a 50% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.40.20.4
redpurplepink
Color

If you choose a random ball from the bag, what is the probability of it being red?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
redpurple
Color

Probability of Type

0.40.6
wagonsedan
Type

What is the probability of a car being a red wagon?
[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:


0.20.250.55
12345
Number

What is the probability of rolling a number that is smaller than or equal to 2?
[1]
A wheel has 11 sections, each has a reward in dollars, from $1 through to $11.
What prize do we expect to get if we spin the wheel?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
03
15
20
33
46
50

What fraction of the dogs score less than 3?
[2]
Roll 60 6-sided dice.
How many times would you expect to get anything except 5?
[1]