Probability Powerplay
Level 6, 2026-07-25
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:


0.30.250.10.250.1
12345
Number

What is the probability of rolling a number from 4 to 5?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 5?
[1]
A bag has 4 balls with number 5 and 6 balls with a number 5. What will be the average of the numbers of the balls taken out of the bag
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 5 or a 5 and a tail?
[1]
Flip a coin 14 times.
Each time a Tail comes up you win $1. It costs $17 to play (paid once). How much money would you expect to make altogether?
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
04
13
21
31
43
53

What fraction of the humans score less than 3?
[2]
You roll a 3 sided die and a 7 sided die.
What is the probability of getting 1 on both dice?
[1]
A group of boys were timed running 100m. Here are the results:
boys

35
1314151617
Time

What fraction of the boys run 100m in exactly 16s?
[2]
A group of boys were timed running 100m. Here are the results:
boys

Time131
141
155
166
17

What is the probability of the boys to run 100m in exactly 16s?
[2]
We asked a group of boys how many Hot dogs they eat in a day. Here are the results:
boys

5563
0123
Hot dogs

What fraction of the boys eat less than 4 Hot dogs in a day?
[2]
Roll a die 36 times.
How many times would you expect to get a 4?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.80.2
redpinkorange
Color

If you choose a random ball from the bag, what is the probability of it being red?
[1]
Roll 1 6-sided die.
What is the probability of getting a 3?
[1]
A group of humans were timed running 100m. Here are the results:
Timehumans
134
143
152
166
171

What is the probability of the humans to run 100m in exactly 16s?
[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:


0.60.20.2
12345
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 3?
[1]