Probability Powerplay
Level 6, 2026-02-25
Flip a coin 2 times.
Each time a Head comes up you win $1. 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:


0.20.050.050.7
12345
Number

What is the probability of rolling a number that is bigger than or equal to 3?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.60.4
blueorange
Color

Probability of Type

0.90.1
wagonsedan
Type

What is the probability of a car being a orange 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:


0.50.10.250.15
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
We asked a group of dogs how many Pizzas they eat in a month. Here are the results:
dogs

6665
0123
Pizzas

What is the probability of the dogs to eat exactly 0 Pizzas in a month?
[2]
Flip a coin 18 times.
Each time a head comes up you win $2 and with each tail you lose $2. It costs $15 to play (paid once). 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:


0.150.20.10.10.45
12345
Number

What is the probability of rolling a number that is bigger than or equal to 3?
[1]
There are 15 balls in a bag. This is is the probability distribution of their color:


0.20.8
orangeyellow
Color

How many orange balls were in the bag?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are odd?
[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:


0.250.10.050.10.5
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
You shoot an arrow at a target. You will either score 10 (10% chance), 30 (20% chance), or 60. What average score do you expect to get if you do this many times?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

1
purpleyellow
Color

Probability of Type

0.80.2
sedanwagon
Type

What is the probability of a car being a purple wagon?
[2]
A bag has 10 red balls, 4 blue balls and 10 yellow balls. You take out a yellow ball, then a yellow ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
01
10
26
33
46
56

What is the probability of the humans to score less than 0?
[2]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.60.4
blueorangered
Color

If you choose a random ball from the bag, what is the probability of it not being orange?
[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:


0.450.150.150.25
12345
Number

What is the probability of rolling a 1?
[1]