Probability Powerplay
Level 6, 2026-04-10
An obstacle course has 2 Fences and 1 Ditches. You have a 50% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A bag has 3 red balls and 6 blue balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
Roll 108 6-sided dice.
How many times would you expect to get more than or equal to 2?
[1]
You shoot an arrow at a target. There is a 20% chance of scoring a 20 and a 30% chance of scoring a 30 and a 50% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
We asked a group of girls how many Pillows they eat in a week. Here are the results:
girls

Pillows06
13
25
36

What is the probability of the girls to eat exactly 0 Pillows in a week?
[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:


0.050.150.050.050.7
12345
Number

What is the probability of rolling a 2?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.50.5
yellowbluegreen
Color

If you choose a random ball from the bag, what is the probability of it being blue?
[1]
Roll 24 6-sided dice.
How many times would you expect to get more than or equal to 5?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than 2?
[1]
Flip a coin 8 times.
Each time a Tail comes up you win $3. It costs $10 to play (paid once). How much money would you expect to make altogether?
[1]
Roll 108 6-sided dice.
How many times would you expect to get more than 2?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.10.10.8
yellowpurplegreen
Color

If you choose a random ball from the bag, what is the probability of it being yellow?
[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:


0.050.150.150.65
12345
Number

What is the probability of rolling a number from 3 to 5?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.10.9
purpleredgreen
Color

If you choose a random ball from the bag, what is the probability of it being red or green?
[1]
A group of people did a math test and here are their scores out of 5:
people

Score05
12
26
3
46
53

What fraction of the people score less than 1?
[2]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are 1 or 4?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.50.5
pinkredorange
Color

If you choose a random ball from the bag, what is the probability of it not being orange or red?
[1]
You shoot an arrow at a target. You will either score 20 (10% chance), 30 (20% chance), or 60. What average score do you expect to get if you do this many times?
[1]