Probability Powerplay
Level 6, 2026-05-08
Flip 2 coins.
What is the probability of getting a head and a tail?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.40.50.1
greenbluered
Color

How many green 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:


0.20.050.10.65
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 2?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
pinkgreen
Color

Probability of Type

0.80.2
wagonsedan
Type

What is the probability of a car being a pink sedan?
[2]
You shoot an arrow at a target. You will either score 20 (20% chance), 40 (40% chance), or 50. What average score do you expect to get if you do this many times?
[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:


0.50.250.25
12345
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 4?
[1]
Flip 1 coin.
What is the probability of getting a head?
[1]
Flip a coin 2 times.
Each time a Tail comes up you win $1. It costs $4 to play (paid once). How much money would you expect to make altogether?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.40.50.1
orangegreenpink
Color

How many orange balls were in the bag?
[1]
Flip a coin 10 times.
Each time a head comes up you win $2 and with each tail you lose $4. It costs $10 to play (paid once). How much money would you expect to make altogether?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.20.8
purpleblueorange
Color

If you choose a random ball from the bag, what is the probability of it being purple or blue?
[1]
A group of humans were timed running 100m. Here are the results:
humans

Time134
14
156
163
173

What fraction of the humans run 100m in less than 15s?
[2]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.50.5
orangepurplegreen
Color

If you choose a random ball from the bag, what is the probability of it not being green or purple?
[1]
We asked a group of boys how many Chocolates they eat in a month. Here are the results:
boys

Chocolates01
15
26
3

What fraction of the boys eat more than 4 Chocolates in a month?
[2]
A group of girls did a math test and here are their scores out of 5:
girls

35562
012345
Score

What is the probability of the girls to score more than 1?
[2]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 4?
[1]