Probability Powerplay
Level 6, 2025-12-09
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:


0.50.20.150.15
12345
Number

What is the probability of rolling 2 or 4?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

156454
012345
Score

What fraction of the girls score exactly 1?
[2]
You roll a 9 sided die and a 10 sided die.
What is the probability of getting 9 on both dice?
[1]
We asked a group of people how many Hot dogs they eat in a day. Here are the results:
people

Hot dogs03
15
2
31

What fraction of the people eat exactly 3 Hot dogs in a day?
[2]
We asked a group of people how many Apples they eat in a month. Here are the results:
people

Apples06
13
23
33

What is the probability of the people to eat less than 4 Apples in a month?
[2]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.20.40.4
bluepurplered
Color

If you choose a random ball from the bag, what is the probability of it not being red or blue?
[1]
A bag has 6 balls with numbers from 3 to 8. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 3?
[1]
Roll 1 6-sided die.
What is the probability of getting a 1?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.70.3
purplepink
Color

Probability of Type

0.90.1
wagonsedan
Type

What is the probability of a car being a purple sedan?
[2]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.60.20.2
pinkyellowgreen
Color

If you choose a random ball from the bag, what is the probability of it not being pink or green?
[1]
A group of people were timed running 100m. Here are the results:
people

Time131
146
151
162
176

What fraction of the people run 100m in exactly 17s?
[2]
Flip a coin 16 times.
Each time a head comes up you win $1 and with each tail you lose $2. How much money would you expect to make altogether?
[1]
Roll 90 6-sided dice.
How many times would you expect to get an ugly number?
[1]
A group of people did a math test and here are their scores out of 5:
people

Score01
16
25
34
43
56

What fraction of the people score less than 1?
[2]