Probability Powerplay
Level 6, 2026-08-19
Flip a coin 16 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]
An obstacle course has 1 Fences and 1 Ditches. You have a 50% chance of clearing a Fence and a 100% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.10.9
orangepurplepink
Color

If you choose a random ball from the bag, what is the probability of it not being orange or pink?
[1]
We asked a group of girls how many Hot dogs they eat in a month. Here are the results:
Hot dogsgirls
00
10
23
33

What is the probability of the girls to eat exactly 4 Hot dogs in a month?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
blueyellow
Color

Probability of Type

0.30.7
sedanwagon
Type

What is the probability of a car being a blue sedan?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
redgreen
Color

Probability of Type

0.60.4
wagonsedan
Type

What is the probability of a car being a green sedan?
[2]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 6?
[1]
You shoot an arrow at a target. There is a 20% chance of scoring a 10 and a 20% chance of scoring a 40 and a 60% chance of scoring a 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:


0.050.050.150.10.65
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 2?
[1]
Roll 48 6-sided dice.
How many times would you expect to get less than 3?
[1]
We asked a group of girls how many Pillows they eat in a day. Here are the results:
girls

435
0123
Pillows

What fraction of the girls eat exactly 0 Pillows in a day?
[2]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
purpleorangeyellow
Color

How many yellow balls were in the bag?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

Score0
14
21
32
42
54

What is the probability of the girls to score more than 1?
[2]
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:


0.150.150.20.050.45
12345
Number

What is the probability of rolling a number that is smaller than or equal to 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:


0.20.20.050.10.45
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 2?
[1]