Probability Powerplay
Level 6, 2026-08-17
Cars go by on a road, each is a different color and type.

Probability of Color

0.60.4
yellowgreen
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a green sedan?
[2]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.60.30.1
yellowredblue
Color

If you choose a random ball from the bag, what is the probability of it being red or yellow?
[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:


0.50.20.050.25
12345
Number

What is the probability of rolling a 3?
[1]
Flip a coin 16 times.
Each time a head comes up you win $2 and with each tail you lose $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:


0.70.10.2
12345
Number

What is the probability of rolling a number that is smaller than or equal to 1?
[1]
Roll 120 6-sided dice.
How many times would you expect to get a number more than 3?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
yellowblue
Color

Probability of Type

0.20.8
wagonsedan
Type

What is the probability of a car being a blue 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:


0.10.20.20.5
12345
Number

What is the probability of rolling a number that is smaller than 1?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.60.20.2
purpleblueorange
Color

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


0.50.150.10.25
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 1?
[1]
The weather forecast says that the chances of rain are 80%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 40%.
What is the probability of getting wet today?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


1
blueorangered
Color

If you choose a random ball from the bag, what is the probability of it not being blue or red?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.50.30.2
greenorangeblue
Color

How many blue balls were in the bag?
[1]
A bag has 8 balls with number 1 and 8 balls with a number 9. You take out 1 ball.
What is the probability of getting the ball with the number 9?
[1]
A bag has 3 balls with number 9 and 7 balls with a number 3. You take out 1 ball.
What is the probability of getting the ball with the number 9?
[1]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 90%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

Time133
143
153
165
175

What is the probability of the dogs to run 100m in less than 17s?
[2]