Probability Powerplay
Level 6, 2026-10-30
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 2?
[1]
You shoot an arrow at a target. There is a 70% chance of scoring a 20 and a 30% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
There are 8 balls in a bag. This is is the probability distribution of their color:


0.50.5
pinkorange
Color

How many pink balls were in the bag?
[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:


0.20.150.050.250.35
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
Roll 108 6-sided dice.
How many times would you expect to get more than or equal to 6?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.20.10.7
yellowgreenblue
Color

How many yellow balls were in the bag?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
03
16
21
33
43
50

What is the probability of the dogs to score less than 2?
[2]
Roll 126 6-sided dice.
How many times would you expect to get an ugly number?
[1]
Roll 24 6-sided dice.
How many times would you expect to get an odd number?
[1]
A wheel has 9 sections, each a number on it from 1 to 9. If you spin an odd number you win that amount of dollars, if you spin an even number you lose.
What prize do we expect to get if we spin the wheel?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
yellowgreen
Color

Probability of Type

0.10.9
sedanwagon
Type

What is the probability of a car being a green sedan?
[2]
A bag has 5 balls with numbers from 5 to 9. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 5?
[1]
A group of humans were timed running 100m. Here are the results:
Timehumans
136
146
155
163
173

What is the probability of the humans to run 100m in exactly 13s?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.40.6
redpink
Color

Probability of Type

0.20.8
wagonsedan
Type

What is the probability of a car being a red sedan?
[2]
Flip a coin 14 times.
Each time a Tail comes up you win $4. How much money would you expect to make altogether?
[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:


0.350.10.150.20.2
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]