Probability Powerplay
Level 6, 2026-11-03
Flip a coin 2 times.
Each time a Tail comes up you win $3. 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:


0.30.10.150.250.2
12345
Number

What is the probability of rolling a 2?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.70.10.2
redpinkblue
Color

If you choose a random ball from the bag, what is the probability of it being red or pink?
[1]
We asked a group of boys how many Chocolates they eat in a month. Here are the results:
boys

Chocolates05
16
22
33

What fraction of the boys eat less than 0 Chocolates in a month?
[2]
You flip a coin and roll a 4 sided die.
What is the probability of getting a 5 and a head?
[1]
There are 44 balls in a bag. This is is the probability distribution of their color:


0.250.75
redblue
Color

How many red balls were in the bag?
[1]
Roll 1 6-sided die.
What is the probability of getting a number bigger than 2?
[1]
We asked a group of girls how many Pizzas they eat in a day. Here are the results:
girls

Pizzas05
11
2
3

What is the probability of the girls to eat exactly 0 Pizzas in a day?
[2]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than or equal to 4?
[1]
The weather forecast says that the chances of rain are 60%. Your chance of being outside today is 80%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?
[1]
A group of kids were timed running 100m. Here are the results:
kids

Time131
146
153
163
173

What fraction of the kids run 100m in exactly 13s?
[2]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.30.10.6
greenredblue
Color

If you choose a random ball from the bag, what is the probability of it being red or green?
[1]
A bag has 8 balls with numbers from 5 to 12. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 6?
[1]
A bag has 3 red balls, 2 blue balls and 10 yellow balls. You take out a yellow ball, then a red ball, then another ball.
What is the probability of getting yellow for the last ball?
[1]
An obstacle course has 1 Fences and 2 Ditches. You have a 90% chance of clearing a Fence and a 80% 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%. Your chance of being outside today is 70%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?
[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:


0.550.250.2
12345
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 4?
[1]