Probability Powerplay
Level 6, 2025-12-20
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:


0.50.20.050.25
12345
Number

What is the probability of rolling 2 or 5?
[1]
A bag has 9 balls with number 4 and 6 balls with a number 4. You take out 1 ball.
What is the probability of getting the ball with the number 4?
[1]
We asked a group of kids how many Oranges they eat in a day. Here are the results:
kids

2652
0123
Oranges

What is the probability of the kids to eat exactly 0 Oranges in a day?
[2]
A bag has 10 balls with numbers from 3 to 12. You take out 1 ball.
What is the probability of NOT getting the ball with the number 4?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 30, a 30% 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 group of dogs were timed running 100m. Here are the results:
dogs

21345
1314151617
Time

What is the probability of the dogs to run 100m in more than 16s?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 4 and a head?
[1]
A group of boys were timed running 100m. Here are the results:
boys

41322
1314151617
Time

What is the probability of the boys to run 100m in exactly 17s?
[2]
An obstacle course has 2 Fences and 1 Ditches. You have a 90% chance of clearing a Fence and a 80% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
05
16
22
30
42
52

What fraction of the dogs score more than 0?
[2]
A group of people were timed running 100m. Here are the results:
Timepeople
130
145
150
160
172

What fraction of the people run 100m in exactly 14s?
[2]
Roll 1 6-sided die.
What is the probability of NOT getting a 3?
[1]
There are 25 balls in a bag. This is is the probability distribution of their color:


0.20.8
purpleyellow
Color

How many purple balls were in 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:


0.450.250.10.150.05
12345
Number

What is the probability of rolling a number that is smaller than or equal to 3?
[1]
A wheel has 7 sections, each has a reward in dollars, from $1 through to $7.
What prize do we expect to get if we spin the wheel?
[1]