Probability Powerplay
Level 6, 2026-01-01
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:


0.750.050.2
12345
Number

What is the probability of rolling a number from 1 to 2?
[1]
The weather forecast says that the chances of rain are 70%. The chance of remembering your umbrella is 70%. Your chance of being outside today are 90%.
What is the probability of getting wet today?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

Score06
13
2
33
4
5

What is the probability of the kids to score exactly 3?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.60.4
orangeblue
Color

Probability of Type

0.60.4
wagonsedan
Type

What is the probability of a car being a blue wagon?
[2]
Roll a die 60 times.
How many times would you expect to get a 4?
[1]
A wheel has 5 orange sections and 4 pink sections.
What is the probability of getting pink?
[1]
A wheel has 6 sections, each has a reward in dollars, from $1 through to $6.
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:
dogs

Score02
13
22
33
43
5

What is the probability of the dogs to score less than 2?
[2]
A bag has 7 red balls, 4 green balls and 8 blue balls. You take out 1 ball.
What is the probability of NOT getting a blue ball?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.50.5
yelloworange
Color

How many yellow balls were in the bag?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

1
redorange
Color

Probability of Type

0.90.1
sedanwagon
Type

What is the probability of a car being a orange wagon?
[2]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are less than 3?
[1]
Roll 138 6-sided dice.
How many times would you expect to get more than 1?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 3 or a 1 and a head?
[1]
Roll 48 6-sided dice.
How many times would you expect to get more than or equal to 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:


0.20.20.10.5
12345
Number

What is the probability of rolling a number that is bigger than 3?
[1]