Probability Powerplay
Level 6, 2026-09-22
There are 10 balls in a bag. This is is the probability distribution of their color:


0.10.9
yellowgreenpurple
Color

If you choose a random ball from the bag, what is the probability of it being purple?
[1]
Roll 48 6-sided dice.
How many times would you expect to get a number more than 6?
[1]
The weather forecast says that the chances of rain are 90%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 60%.
What is the probability of getting wet today?
[1]
A bag has 6 red balls, 10 blue balls and 2 yellow balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting yellow for the last ball?
[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:


0.050.150.8
12345
Number

What is the probability of rolling a number that is bigger than or equal to 3?
[1]
A wheel has 6 sections, each a number on it from 1 to 6. If you spin an even number you win that amount of dollars, if you spin an odd number you lose.
What prize do we expect to get if we spin the wheel?
[1]
A group of boys were timed running 100m. Here are the results:
boys

5212
1314151617
Time

What is the probability of the boys to run 100m in exactly 15s?
[2]
A bag has 3 balls with numbers from 4 to 6. You take out 1 ball.
What is the probability of getting the ball with the number 4?
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
02
12
21
33
46
50

What fraction of the humans score less than 3?
[2]
Roll a die 96 times.
How many times would you expect to get a 6?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.50.40.1
yellowpurpleorange
Color

If you choose a random ball from the bag, what is the probability of it being purple or yellow?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than or equal to 3?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.50.30.2
yellowredorange
Color

How many red balls were in the bag?
[1]
We asked a group of humans how many Hot dogs they eat in a day. Here are the results:
humans

Hot dogs02
13
22
32

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

Peaches01
14
2
36

What fraction of the girls eat more than 4 Peaches in a day?
[2]
Roll 126 6-sided dice.
How many times would you expect to get less than 3?
[1]