Probability Powerplay
Level 6, 2026-08-28
You shoot an arrow at a target. There is a 30% chance of scoring a 10 and a 30% chance of scoring a 30 and a 40% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.10.50.4
pinkredblue
Color

If you choose a random ball from the bag, what is the probability of it being blue or red?
[1]
A wheel has 8 sections, each a number on it from 1 to 8. 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 people did a math test and here are their scores out of 5:
Scorepeople
00
11
22
31
40
56

What is the probability of the people to score less than 2?
[2]
Flip a coin 18 times.
Each time a Tail comes up you win $1. How much money would you expect to make altogether?
[1]
Flip a coin 2 times.
Each time a Tail comes up you win $2. It costs $3 to play (paid once). How much money would you expect to make altogether?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.30.20.5
greenpinkyellow
Color

If you choose a random ball from the bag, what is the probability of it being yellow?
[1]
A wheel has 9 sections, each has a reward in dollars, from $1 through to $9.
What prize do we expect to get if we spin the wheel?
[1]
Roll 84 6-sided dice.
How many times would you expect to get a number less than 7?
[1]
There are 48 balls in a bag. This is is the probability distribution of their color:


0.250.75
purpleyellow
Color

How many purple 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:


0.70.10.2
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are less than 5?
[1]
You roll a 8 sided die and a 10 sided die.
What is the probability of getting 8 on both dice?
[1]
We asked a group of boys how many Oranges they eat in a month. Here are the results:
boys

541
0123
Oranges

What fraction of the boys eat more than 4 Oranges in a month?
[2]
You shoot an arrow at a target. There is a 80% chance of scoring a 10 and a 20% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
A bag has 2 red balls, 6 blue balls and 3 yellow balls. You take out a blue 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:


0.80.10.1
12345
Number

What is the probability of rolling a number that is bigger than 3?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.10.9
bluered
Color

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