Probability Powerplay
Level 6, 2026-08-02
An obstacle course has 1 Fences and 2 Ditches. You have a 90% 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]
You shoot an arrow at a target. There is a 90% chance of scoring a 30 and a 10% chance of scoring a 40. What average score do you expect to get if you do this many times?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are even?
[1]
Roll 18 6-sided dice.
How many times would you expect to get a number more than 5?
[1]
Roll 1 6-sided die.
What is the probability of getting a number bigger than or equal to 3?
[1]
We asked a group of humans how many Peaches they eat in a month. Here are the results:
humans

Peaches0
16
21
36

What fraction of the humans eat exactly 2 Peaches in a month?
[2]
We asked a group of boys how many Bowls of Ramen they eat in a month. Here are the results:
boys

Bowls of Ramen01
11
2
31

What is the probability of the boys to eat more than 2 Bowls of Ramen in a month?
[2]
Roll 66 6-sided dice.
How many times would you expect to get less than 2?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.80.2
orangepurple
Color

How many purple balls were in the bag?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

66626
012345
Score

What is the probability of the boys to score exactly 4?
[2]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
yellowredpurple
Color

How many red balls were in the bag?
[1]
A bag has 7 red balls, 10 blue balls and 4 yellow balls. You take out a red ball, then a yellow 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:


0.150.85
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
A bag has 3 balls with numbers from 1 to 3. You take out 1 ball.
What is the probability of NOT getting the ball with the number 2?
[1]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 90%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?
[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:


0.550.150.050.20.05
12345
Number

What is the probability of rolling 1 or 4?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 20, a 30% chance of scoring a 50, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]