Probability Powerplay
Level 6, 2025-10-28
Flip a coin 12 times.
Each time a head comes up you win $4 and with each tail you lose $1. It costs $5 to play (paid once). How much money would you expect to make altogether?
[1]
A group of kids were timed running 100m. Here are the results:
kids

45422
1314151617
Time

What is the probability of the kids to run 100m in more than 16s?
[2]
A bag has 6 balls with number 6 and 8 balls with a number 1. What will be the average of the numbers of the balls taken out of the bag
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.30.40.3
greenpurpleyellow
Color

How many green balls were in the bag?
[1]
Flip a coin 16 times.
Each time a Tail comes up you win $4. How much money would you expect to make altogether?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.10.50.4
orangebluepurple
Color

How many purple balls were in the bag?
[1]
We asked a group of humans how many Popsicles they eat in a day. Here are the results:
humans

Popsicles02
16
21
32

What is the probability of the humans to eat more than 3 Popsicles in a day?
[2]
You shoot an arrow at a target. There is a 60% chance of scoring a 10 and a 40% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A group of kids did a math test and here are their scores out of 5:
Scorekids
06
12
22
36
42
55

What fraction of the kids score less than 4?
[2]
You shoot an arrow at a target. You will either score 20 (50% chance), 30 (20% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

15314
012345
Score

What is the probability of the boys to score more than 4?
[2]
Flip a coin 10 times.
Each time a Tail comes up you win $1. How much money would you expect to make altogether?
[1]
Roll 1 6-sided die.
What is the probability of getting a number bigger than 3?
[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:


0.050.20.20.55
12345
Number

What is the probability of rolling a 3?
[1]
Roll 30 6-sided dice.
How many times would you expect to get an even number?
[1]
Roll 78 6-sided dice.
How many times would you expect to get an even number?
[1]