Probability Powerplay
Level 6, 2026-10-26
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:


0.250.20.150.050.35
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]
You shoot an arrow at a target. There is a 90% chance of scoring a 20 and a 10% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
Roll 126 6-sided dice.
How many times would you expect to get anything except 5?
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
03
13
25
36
43
50

What fraction of the humans score exactly 5?
[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:


0.650.20.10.05
12345
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 3?
[1]
Flip a coin 8 times.
Each time a Head comes up you win $1. How much money would you expect to make altogether?
[1]
A group of people were timed running 100m. Here are the results:
Timepeople
130
145
151
163
176

What fraction of the people run 100m in exactly 14s?
[2]
We asked a group of dogs how many Oranges they eat in a week. Here are the results:
dogs

4644
0123
Oranges

What is the probability of the dogs to eat exactly 0 Oranges in a week?
[2]
A bag has 4 balls with number 5 and 5 balls with a number 7. 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:


0.550.050.10.150.15
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
A bag has 3 red balls and 9 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[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:


0.50.050.20.25
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 20 and a 40% chance of scoring a 30 and a 30% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.20.8
blueorange
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a blue sedan?
[2]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
04
15
20
31
41
56

What is the probability of the dogs to score more than 5?
[2]