Probability Powerplay
Level 6, 2026-09-06
We asked a group of humans how many Sandwiches they eat in a month. Here are the results:
humans

Sandwiches05
14
2
36

What is the probability of the humans to eat less than 4 Sandwiches in a month?
[2]
Flip a coin 18 times.
Each time a Head comes up you win $2. It costs $21 to play (paid once). How much money would you expect to make altogether?
[1]
A bag has 7 balls with numbers from 5 to 11. You take out 1 ball.
What is the probability of NOT getting the ball with the number 5?
[1]
Roll 66 6-sided dice.
How many times would you expect to get less than or equal to 4?
[1]
We asked a group of people how many Icecreams they eat in a week. Here are the results:
people

2223
0123
Icecreams

What is the probability of the people to eat exactly 3 Icecreams in a week?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
orangeblue
Color

Probability of Type

0.80.2
wagonsedan
Type

What is the probability of a car being a blue wagon?
[2]
Roll 48 6-sided dice.
How many times would you expect to get anything except 3?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.90.1
bluepinkpurple
Color

If you choose a random ball from the bag, what is the probability of it being pink?
[1]
There are 24 balls in a bag. This is is the probability distribution of their color:


0.50.5
redblue
Color

How many blue balls were in the bag?
[1]
A group of people were timed running 100m. Here are the results:
people

42535
1314151617
Time

What is the probability of the people to run 100m in exactly 13s?
[2]
You shoot an arrow at a target. You will either score 10 (20% chance), 40 (30% chance), or 50. What average score do you expect to get if you do this many times?
[1]
Roll 66 6-sided dice.
How many times would you expect to get more than 5?
[1]
Roll 72 6-sided dice.
How many times would you expect to get less than 3?
[1]
An obstacle course has 1 Fences and 1 Ditches. You have a 90% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
You shoot an arrow at a target. There is a 90% chance of scoring a 10 and a 10% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.90.1
purpleblue
Color

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