Probability Powerplay
Level 6, 2026-10-14
A group of kids were timed running 100m. Here are the results:
kids

1441
1314151617
Time

What is the probability of the kids to run 100m in exactly 17s?
[2]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 2?
[1]
Flip a coin 12 times.
Each time a head comes up you win $1 and with each tail you lose $4. How much money would you expect to make altogether?
[1]
Roll 150 6-sided dice.
How many times would you expect to get more than 4?
[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:


0.20.150.150.5
12345
Number

What is the probability of rolling a number that is smaller than 2?
[1]
You shoot an arrow at a target. There is a 10% chance of scoring a 20 and a 40% chance of scoring a 30 and a 50% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
Flip a coin 2 times.
Each time a head comes up you win $4 and with each tail you lose $1. How much money would you expect to make altogether?
[1]
You shoot an arrow at a target. You will either score 10 (50% chance), 40 (10% chance), or 50. What average score do you expect to get if you do this many times?
[1]
You flip a coin and roll a 5 sided die.
What is the probability of getting a 3 and a tail?
[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:


0.050.20.20.150.4
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
We asked a group of dogs how many Peaches they eat in a month. Here are the results:
Peachesdogs
03
11
20
35

What is the probability of the dogs to eat exactly 2 Peaches in a month?
[2]
A group of kids were timed running 100m. Here are the results:
kids

Time136
144
151
16
173

What fraction of the kids run 100m in exactly 16s?
[2]
A group of people did a math test and here are their scores out of 5:
people

56565
012345
Score

What is the probability of the people to score less than 3?
[2]
A bag has 6 balls with number 5 and 9 balls with a number 2. What will be the average of the numbers of the balls taken out of the bag
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.60.30.1
purplepinkorange
Color

How many orange balls were in the bag?
[1]
Roll 2 6-sided dice.
What is the probability of getting a 3 on both dice?
[1]