Probability Powerplay
Level 6, 2026-08-28
A group of people did a math test and here are their scores out of 5:
people

Score02
14
24
32
4
55

What is the probability of the people to score more than 0?
[2]
There are 35 balls in a bag. This is is the probability distribution of their color:


0.80.2
orangepurple
Color

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

Probability of Color

0.40.6
purpleyellow
Color

Probability of Type

0.10.9
wagonsedan
Type

What is the probability of a car being a yellow sedan?
[2]
You shoot an arrow at a target. There is a 40% chance of scoring a 20 and a 40% chance of scoring a 40 and a 20% chance of scoring a 50. 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

0.20.8
yellowred
Color

Probability of Type

0.30.7
wagonsedan
Type

What is the probability of a car being a yellow sedan?
[2]
Roll 120 6-sided dice.
How many times would you expect to get a number more than 2?
[1]
A wheel has 5 green sections and 6 orange sections.
What is the probability of getting orange?
[1]
There are 24 balls in a bag. This is is the probability distribution of their color:


0.750.25
redpurple
Color

How many purple balls were in the bag?
[1]
A bag has 2 red balls and 3 blue balls. You take out 1 red ball, then another ball.
What is the probability of getting red for the second ball?
[1]
Roll 1 6-sided die.
What is the probability of getting a number bigger than 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:


0.450.250.20.050.05
12345
Number

What is the probability of rolling a number that is smaller than or equal to 4?
[1]
Roll 66 6-sided dice.
How many times would you expect to get less than or equal to 1?
[1]
The weather forecast says that the chances of rain are 80%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 80%.
What is the probability of getting wet today?
[1]
We asked a group of kids how many Chocolates they eat in a day. Here are the results:
kids

Chocolates02
12
25
36

What fraction of the kids eat more than 4 Chocolates in a day?
[2]
Flip a coin 8 times.
Each time a Head comes up you win $1. How much money would you expect to make altogether?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.20.8
redgreen
Color

How many green balls were in the bag?
[1]