# What's the probability that you'll even read this post?

Well, if we look at all the billions of people on this planet [AJC: is it 6 billion or 8 billion now … damn, I lost count] …  the chances are minuscule.

If we take all the people who use the Internet daily … still microscopic.

If we take all the people who read Personal Finance blog … not much chance.

If we pick all people who read the self-prophesying headline to this post …. bloody great! You see, it WAS a trick question of sorts …

… all to lead me on to the subject of Probability … as in “it’s probable that your eyes will glaze over just about now, and you’ll click back to Pamela Anderson’s home page” … brought to my attention by a recent post from an excellent blog by All Financial Matters, appropriately titled Probability 101.

Even if you hated math [AJC: in other countries, known as: maths] and statistics, stick with me past this excerpt:

I’m in the process of reading Peter Bevelin’s awesome book, Seeking Wisdom – From Darwin to Munger (Not an Affiliate Link). I HIGHLY recommend this book for anyone interested in investing and behavioral finance. As boring as that sounds, this book is a page-turner. One of the sections of the book that I found most interesting was this illustration of probability on page 151:

A lottery has 100 tickets. Each ticket costs \$10. The cash prize is \$500. Is it worthwhile for Mary to buy a lottery ticket?

The expected value of this game is the probability of winning (1 in 100) multiplied with the prize (\$500) less the probability of losing (99 our of 100) multiplied with the cost of playing (\$10). For each outcome we take the probability and multiply the consequence (a reward or a cost) and then add the figures. This means that Mary’s expected value of buying a lottery ticket is a loss of about \$5 (0.01 × \$500 – 0.99 × \$10).

The first comment that I would make is that whilst you need to understand the basics of a ‘good decision’ against a ‘bad decision’ in probability/statistical terms, simply running your eye over the key line “A lottery has 100 tickets. Each ticket costs \$10. The cash prize is \$500”  should do the trick:

If you bought all 100 tickets, at \$10 each, you would spend \$1,000. But you would only win the cash prize of \$500 … are YOU smarter than a 3rd Grader?

But, as one of the comments on that post pointed, out not all decision that SEEM to be mathematical ARE simply mathematical:

Unfortunately, probability doesn’t always translate directly into real-life situations.

Let’s take your example of the lottery, except we’ll change things up a little.

Mary is 50 years old and approaching retirement. She’s been financially savvy for her entire life and has accumulated \$1M in cash.

Donald Trump decides to hold a lottery for only Mary. One ticket costs \$1M, and she has a 50% chance of winning \$10M.
If you looked at just probability, her EV is -(0.5 x \$1M) + (0.5 X \$10M), or +\$4.5M. Does that mean she should buy the ticket? Obviously, no.

I think what this comment is saying is that EVEN THOUGH you have a 50/50 chance of winning 10 times your money, you shouldn’t invest your entire life savings into it … because you have an equal chance of ending up flat broke!

The concept is good, but I take issue with the “obviously no” bit …

The numbers in this example are ridiculously skewed for most people, so I tried to give some ‘closer to home’ examples in my post centred on that popular game show, Deal or No Deal.

It all boils down to this:

When a decision is potentially Life Changing … the numbers count less … the possible result counts more.

In practice:

1. You should understand basic probability because it is so important in life,

BUT

2. You should first make the Life Decision then look at the odds …

Deal or No Deal?!