Probability Powerplay
Level 6, 2026-04-15
A group of boys did a math test and here are their scores out of 5:
boys

546155
012345
Score

What is the probability of the boys to score more than 5?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
yellowblue
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a blue wagon?
[2]
A group of dogs did a math test and here are their scores out of 5:
dogs

65111
012345
Score

What is the probability of the dogs to score exactly 1?
[2]
A group of people did a math test and here are their scores out of 5:
people

Score03
15
22
3
41
56

What is the probability of the people to score more than 3?
[2]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than or equal to 3?
[1]
We asked a group of humans how many Pillows they eat in a week. Here are the results:
humans

52
0123
Pillows

What fraction of the humans eat exactly 1 Pillows in a week?
[2]
We asked a group of boys how many Apples they eat in a week. Here are the results:
boys

4435
0123
Apples

What fraction of the boys eat exactly 0 Apples in a week?
[2]
You shoot an arrow at a target. There is a 40% chance of scoring a 20 and a 10% chance of scoring a 40 and a 50% chance of scoring a 60. 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:


0.60.250.15
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 2?
[1]
Flip a coin 16 times.
Each time a head comes up you win $2 and with each tail you lose $1. How much money would you expect to make altogether?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 20, a 40% chance of scoring a 40, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
A bag has 4 balls with number 5 and 3 balls with a number 4. What will be the average of the numbers of the balls taken out of 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:


0.550.10.150.2
12345
Number

What is the probability of rolling a number that is smaller than or equal to 4?
[1]
A bag has 7 red balls and 5 blue balls. You take out 1 red ball, then another ball.
What is the probability of getting red for the second ball?
[1]