Great article on how #3dprinting can potentially help provide affordable housing.

3D Printing 

Three-dimensional printing can create nearly any object. A partnership in Mexico is putting that theory to the test, building a village for residents living in poverty.

How an 11-Foot-Tall 3-D Printer Is Helping to Create a Community

Do you know about the Monty Hall Problem? If you deal with data, statistics and probabilities...it's worth taking a few minutes to understand the Monty Hall Problem and how restricted choice can create bias in your results. This bias was so strong and at the same time so subtle that famous behavioral scientists have fallen prey to it. Perhaps one of the greatest examples is the Hot Hand Fallacy.

Monty Hall Problem

The Monty Hall Problem is based on an old TV Game Show. You choose one door. The host gets the other two. One door has a prize, the other two have nothing. The host has a 100% chance of getting 1 door with no prize. He has a 66% chance of getting 1 door with a prize He has a 33% chance of getting 2 doors with no prize ___________________________________________ You have a 33% chance of getting a prize with your initial selection You have a 66% chance of getting no prize with your initial selection

Restricted Choice

After he reveals to you that one of his door has no prize...he offers to switch your door for his. Should you? Our initial assumption is that now there are two doors. You have a 50% chance...he has a 50% chance... Right? WRONG! When working with restricted choice...you must adjust the probabilities to reflect restricted choice. Remember the initial probabilities.

A mental trick!

Because the host has played his no prize door...restricted choice principle states that the likelihood that his other door has no prize is now decreased. Remember the intial probabilities have not changed. The doors weren't reshuffled. You still picked a door with a 66% chance of it being a dud. He picked 2 doors giving him a 66% chance of having the prize. You should switch!

Switch!

Many studies are made with large datasets which then have a subset of data collected from it. When making decisions based on these studies...it's worth asking yourself if the possibility of a restricted choice or Monty Hall Problem may have created bias in the results.

What's the take?

Cards, dice, roulette and game shows – probability is one of the most fun areas of mathematics, full of surprises and real life applications.

personaldevelopment

Personal Development

marketingandsales

Marketing & Sales

The Monty Hall Problem – Probability – Mathigon

We took the data set from the SP500 Yahoo Finance Historical Data and tested it. We only had open and close data from 1982 and after.&nbsp; Methodology: Rather than measuring calender years, we measured trading years on a daily basis. Every day of every year we looked back 1 trading year and measured the results. Results:Over 9930 Periods, 7727 of periods the SP500 was higher than the same day in the previous trading year. It was never the exact same. 1950 it was lower. Mean returns were 10.6%Median returns were 11.96%

Do stocks only go up?

Get historical data for the S&P 500 (^GSPC) on Yahoo Finance. View and download daily, weekly or monthly data to help your investment decisions.

moneyandinvestments

Money & Investments

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Computer Science

S&P 500 (^GSPC) Historical Data

I'm trying this for the first time. I like this app. Combines many of the best elements of Substack, Pinterest and Twitter without some of the feedback loops. Want to test this out some.

How an 11-Foot-Tall 3-D Printer Is Helping to Create a Community

The Monty Hall Problem – Probability – Mathigon

S&P 500 (^GSPC) Historical Data

Steven Harrison on Sep 11

Steven Harrison