Probability Powerplay
Level 6, 2026-06-08
Roll 42 6-sided dice.
How many times would you expect to get more than or equal to 4?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 20, a 30% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than or equal to 5?
[1]
We asked a group of people how many Bananas they eat in a month. Here are the results:
people

555
0123
Bananas

What fraction of the people eat exactly 2 Bananas in a month?
[2]
We asked a group of boys how many Oranges they eat in a week. Here are the results:
boys

Oranges0
15
26
36

What is the probability of the boys to eat more than 2 Oranges in a week?
[2]
Flip a coin 6 times.
How many times would you expect to get Heads?
[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 6?
[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:


0.250.150.250.150.2
12345
Number

What is the probability of rolling 3 or 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:


0.550.20.25
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[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:


0.750.25
12345
Number

What is the probability of rolling a 1?
[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:


0.450.20.050.10.2
12345
Number

What is the probability of rolling a 4?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.80.10.1
greenpurpleblue
Color

How many blue balls were in the bag?
[1]
There are 6 balls in a bag. This is is the probability distribution of their color:


0.50.5
pinkred
Color

How many red balls were in the bag?
[1]
The weather forecast says that the chances of rain are 70%. Your chance of being outside today is 60%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 20, a 40% chance of scoring a 40, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
The weather forecast says that the chances of rain are 70%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 80%.
What is the probability of getting wet today?
[1]
Roll 54 6-sided dice.
How many times would you expect to get an odd number?
[1]
A wheel has 7 red sections and 5 yellow sections.
What is the probability of getting red?
[1]