Probability Powerplay
Level 6, 2026-05-29
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]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
03
14
25
35
46
53

What fraction of the humans score exactly 4?
[2]
A bag has 10 red balls, 8 green balls and 7 blue balls. You take out 1 ball.
What is the probability of getting a blue ball?
[1]
A bag has 2 balls with numbers from 2 to 3. You take out 1 ball.
What is the probability of getting a ball with an odd number?
[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:


0.70.150.15
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 5?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.30.50.2
purpleyellowpink
Color

How many pink balls were in the bag?
[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:


0.150.20.050.6
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
Flip 2 coins.
What is the probability of getting a head and a tail?
[1]
A bag has 2 balls with numbers from 4 to 5. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 3?
[1]
Flip a coin 6 times.
Each time a head comes up you win $1 and with each tail you lose $3. How much money would you expect to make altogether?
[1]
You roll a 8 sided die and a 3 sided die.
What is the probability of getting 1 on both dice?
[1]
Roll 78 6-sided dice.
How many times would you expect to get less than or equal to 1?
[1]
Roll 72 6-sided dice.
How many times would you expect to get more than 5?
[1]
A group of girls were timed running 100m. Here are the results:
girls

Time131
146
155
16
17

What fraction of the girls run 100m in exactly 15s?
[2]
You shoot an arrow at a target. There is a 40% chance of scoring a 20 and a 30% chance of scoring a 30 and a 30% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
A group of people did a math test and here are their scores out of 5:
people

Score02
16
25
32
42
53

What is the probability of the people to score exactly 1?
[2]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.40.50.1
pinkpurpleorange
Color

How many pink balls were in the bag?
[1]