Probability Powerplay
Level 6, 2026-02-28
Roll 90 6-sided dice.
How many times would you expect to get less than or equal to 1?
[1]
We asked a group of humans how many Popsicles they eat in a month. Here are the results:
humans

Popsicles04
11
26
33

What is the probability of the humans to eat exactly 1 Popsicles in a month?
[2]
A bag has 2 balls with number 9 and 2 balls with a number 9. What will be the average of the numbers of the balls taken out of the bag
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

1
yellowgreen
Color

Probability of Type

0.10.9
sedanwagon
Type

What is the probability of a car being a green wagon?
[2]
Flip a coin 2 times.
Each time a head comes up you win $3 and with each tail you lose $3. How much money would you expect to make altogether?
[1]
Roll 36 6-sided dice.
How many times would you expect to get more than or equal to 1?
[1]
A wheel has 14 sections, each a number on it from 1 to 14. If you spin an even number you win that amount of dollars, if you spin an odd number you lose.
What prize do we expect to get if we spin the wheel?
[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:


0.20.250.050.150.35
12345
Number

What is the probability of rolling a number that is smaller than or equal to 1?
[1]
We asked a group of boys how many Pizzas they eat in a week. Here are the results:
boys

4323
0123
Pizzas

What fraction of the boys eat more than 1 Pizzas in a week?
[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:


0.150.20.65
12345
Number

What is the probability of rolling a number that is smaller than or equal to 1?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 3 or a 1 and a head or a tail?
[1]
A wheel has 8 sections, each has a reward in dollars, from $1 through to $8.
What prize do we expect to get if we spin the wheel?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 4 or a 2 and a head or a tail?
[1]
There are 110 balls in a bag. This is is the probability distribution of their color:


0.10.9
purplegreen
Color

How many green balls were in the bag?
[1]
Roll 78 6-sided dice.
How many times would you expect to get more than 3?
[1]
You shoot an arrow at a target. There is a 10% chance of scoring a 20 and a 10% chance of scoring a 40 and a 80% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
A wheel has 3 purple sections and 5 orange sections.
What is the probability of getting purple?
[1]