Probability Powerplay
Level 6, 2026-11-11
A group of boys were timed running 100m. Here are the results:
boys

Time13
146
155
166
176

What is the probability of the boys to run 100m in exactly 17s?
[2]
Flip a coin 14 times.
Each time a head comes up you win $2 and with each tail you lose $1. It costs $10 to play (paid once). How much money would you expect to make altogether?
[1]
A bag has 3 balls with numbers from 1 to 3. You take out 1 ball.
What is the probability of getting a ball with a number less than 3?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.80.2
purplegreenred
Color

If you choose a random ball from the bag, what is the probability of it not being purple or red?
[1]
You flip a coin and roll a 7 sided die.
What is the probability of getting a 2 and a head?
[1]
A bag has 9 red balls, 7 green balls and 9 blue balls. You take out 1 ball.
What is the probability of getting a blue ball?
[1]
A group of people did a math test and here are their scores out of 5:
people

264631
012345
Score

What is the probability of the people to score more than 4?
[2]
Roll 24 6-sided dice.
How many times would you expect to get anything except 6?
[1]
There are 8 balls in a bag. This is is the probability distribution of their color:


0.50.5
greenblue
Color

How many green balls were in the bag?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 100% chance of clearing a Fence and a 90% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
The weather forecast says that the chances of rain are 40%. The chance of remembering your umbrella is 70%. Your chance of being outside today are 70%.
What is the probability of getting wet today?
[1]
A group of kids were timed running 100m. Here are the results:
Timekids
131
140
152
163
176

What is the probability of the kids to run 100m in exactly 14s?
[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:


0.50.250.150.1
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.60.4
orangeyellow
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a orange sedan?
[2]
We asked a group of boys how many Oranges they eat in a month. Here are the results:
boys

Oranges01
14
23
33

What is the probability of the boys to eat more than 1 Oranges in a month?
[2]