Friday, 12 January 2018

Watch along with MATM: The Oxford Murders

Don't do it.

The Oxford Murders is terrible.

(Thomas is very sorry for choosing it).

However, should you want to waste 104 minutes of your life you can buy the DVD from Amazon by following the link below.
 
Such a waste of talented people!
Such a waste of mathematical logic!

We didn't read it... but the book might be better?

Wednesday, 10 January 2018

Answer to the Moneyball problem

Listen here!


During Moneyball Ben asked:

What is the probability that the next person you meet will have an above average number of ears? 

Although most people have two ears, there are those with only one. Thus, the average number of ears is just below two.

However, since people with only one ear are quite rare this means you are most likely to meet a person with two ears next, meaning that the probability is nearly 1! We can't say it is exactly 1, because the next person you meet, although unlikely, may have a damaged ear.

Of course, if you live with a person with only one ear then your probability is significantly lower, because you'll likely bump into that person next.

It's all about the assumptions!

Listen to our Flatland podcast to hear more about this problem and learn why clarifying the averages we talk about have important consequences regarding the interpretation of the question.

Friday, 5 January 2018

Maths at the Movies: Flatland

This week we take a walk in the lower dimensions as we talk about Flatland: The Movie.
  • How much is your life worth?
  • Could 2D animals exist?
  • Did George Orwell rip this story off by adding a third dimension?
All of these questions and more are interrupted in our Flatland: The Movie podcast.

Join us in our search for the third dimension and beyond!


If you're interested in watching Flatland: The Movie  you can follow the Amazon link below.



Further reading links:

Subscribe via iTunes.
Follow us on twitter @PodcastMathsAt, as well as @ThomasEWoolley and @benmparker

Tuesday, 2 January 2018

Puzzle from Moneyball

Ben provided the following puzzle during our Moneyball podcast.

What is the probability that the next person you meet will have an above average number of ears?


Don't worry he gave a set of multiple choice answers, so, is the answer:
  • 0?
  • nearly 0?
  • 1/2?
  • nearly 1?
  • 1?
  • π?
As a hint it isn't π.

Join us next time for the answer, when we discuss Flatland.

Monday, 1 January 2018

One the first day of Christmas my true love gave to me...

Yes, Christmas maybe over, but the puzzles still remain! During our Christmas episode Thomas provided the following puzzle.

In the song "12 days of Christmas" how many presents do you get over all? 

Note the lyrics are given below, but the main idea is that you are adding up consecutive triangular numbers. Namely, on the first day you get 1 present. On the second day you get 3 = 2+1 more presents, making 4 overall. On the third day you get 6 = 3 + 2 + 1 more presents, meaning 10 overall. Thus, in total, how many presents do you get?

You can find the answer during Maths At: Christmas

We also gave you a bonus question that built on this ideas.

In the song "12 days of Christmas" how many legs are there in total?

As we discussed in the podcast there are many possible solutions to this question based on different assumptions. Do the milk maids have stools? Has a swan lost a leg and swimming in a circle?

Many possibilities! We will reveal our solution next time.

For those who want a consistent set of lyrics we used the following list:

First day:
A Partridge in a Pear Tree

Second day:
2 Turtle Doves
and a Partridge in a Pear Tree

Third day:
3 French Hens
2 Turtle Doves
and a Partridge in a Pear Tree

Fourth day:
4 Calling Birds
3 French Hens
2 Turtle Doves
and a Partridge in a Pear Tree

Fifth day:
5 Golden Rings
4 Calling Birds
3 French Hens
2 Turtle Doves
and a Partridge in a Pear Tree

Sixth day:
6 Geese a Laying
5 Golden Rings
4 Calling Birds
3 French Hens
2 Turtle Doves
and a Partridge in a Pear Tree

Seventh day:
7 Swans a Swimming
6 Geese a Laying
5 Golden Rings
4 Calling Birds
3 French Hens
2 Turtle Doves
and a Partridge in a Pear Tree

Eighth day:
8 Maids a Milking
7 Swans a Swimming
6 Geese a Laying
5 Golden Rings
4 Calling Birds
3 French Hens
2 Turtle Doves
and a Partridge in a Pear Tree

Ninth day:
9 Ladies Dancing
8 Maids a Milking
7 Swans a Swimming
6 Geese a Laying
5 Golden Rings
4 Calling Birds
3 French Hens
2 Turtle Doves
and a Partridge in a Pear Tree

Tenth day:
10 Lords a Leaping
9 Ladies Dancing
8 Maids a Milking
7 Swans a Swimming
6 Geese a Laying
5 Golden Rings
4 Calling Birds
3 French Hens
2 Turtle Doves
and a Partridge in a Pear Tree

Eleventh day:
11 Pipers Piping
10 Lords a Leaping
9 Ladies Dancing
8 Maids a Milking
7 Swans a Swimming
6 Geese a Laying
5 Golden Rings
4 Calling Birds
3 French Hens
2 Turtle Doves
and a Partridge in a Pear Tree

Twelfth day:
12 Drummers Drumming
11 Pipers Piping
10 Lords a Leaping
9 Ladies Dancing
8 Maids a Milking
7 Swans a Swimming
6 Geese a Laying
5 Golden Rings
4 Calling Birds
3 French Hens
2 Turtle Doves
and a Partridge in a Pear Tree

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