Probability Powerplay
Level 6, 2026-10-12
Flip a coin 12 times.
Each time a head comes up you win $3 and with each tail you lose $1. It costs $15 to play (paid once). How much money would you expect to make altogether?
[1]
Roll 36 6-sided dice.
How many times would you expect to get less than or equal to 1?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.20.50.3
redorangeyellow
Color

If you choose a random ball from the bag, what is the probability of it being yellow?
[1]
Roll 24 6-sided dice.
How many times would you expect to get more than or equal to 6?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 10, a 40% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are odd?
[1]
A group of kids were timed running 100m. Here are the results:
kids

1141
1314151617
Time

What fraction of the kids run 100m in more than 15s?
[2]
A bag has 6 balls with numbers from 4 to 9. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 4?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


1
greenpurplered
Color

If you choose a random ball from the bag, what is the probability of it not being red or purple?
[1]
The chances of feeling like icecream are 50%. The chances of being near an icecream store are 60%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
We asked a group of humans how many Icecreams they eat in a week. Here are the results:
humans

Icecreams0
16
22
33

What fraction of the humans eat exactly 2 Icecreams in a week?
[2]
A group of people did a math test and here are their scores out of 5:
Scorepeople
02
12
21
32
45
52

What fraction of the people score less than 3?
[2]
A bag has 4 red balls and 7 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 60 6-sided dice.
How many times would you expect to get an odd number?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.50.40.1
yellowbluepink
Color

If you choose a random ball from the bag, what is the probability of it not being pink?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
purpleyellow
Color

Probability of Type

0.20.8
sedanwagon
Type

What is the probability of a car being a yellow wagon?
[2]