Probability Powerplay
Level 6, 2026-09-17
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:


0.050.20.75
12345
Number

What is the probability of rolling a number that is smaller than or equal to 1?
[1]
A group of girls were timed running 100m. Here are the results:
Timegirls
131
146
156
162
173

What fraction of the girls run 100m in less than 17s?
[2]
An obstacle course has 1 Fences and 1 Ditches. You have a 100% 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]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 5 and a tail?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

Score03
1
22
3
46
52

What fraction of the kids score less than 0?
[2]
Roll 78 6-sided dice.
How many times would you expect to get more than 5?
[1]
Roll 24 6-sided dice.
How many times would you expect to get less than or equal to 5?
[1]
A bag has 7 balls with number 9 and 9 balls with a number 6. What will be the average of the numbers of the balls taken out of the bag
[1]
A group of dogs were timed running 100m. Here are the results:
Timedogs
130
144
152
163
176

What is the probability of the dogs to run 100m in exactly 15s?
[2]
The chances of feeling like icecream are 60%. The chances of being near an icecream store are 40%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
Roll 90 6-sided dice.
How many times would you expect to get less than or equal to 2?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

121332
012345
Score

What fraction of the dogs score more than 5?
[2]
A group of humans were timed running 100m. Here are the results:
Timehumans
132
140
155
165
174

What is the probability of the humans to run 100m in less than 16s?
[2]
A group of dogs were timed running 100m. Here are the results:
dogs

64244
1314151617
Time

What is the probability of the dogs to run 100m in less than 16s?
[2]