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Neopia's Fill in the Blank News Source | 24th day of Eating, Yr 26
The Neopian Times Week 56 > Articles > Kissing Mortogs for Fun and Profit

Kissing Mortogs for Fun and Profit

by scriptfox

MERIDELL - Anyone exploring around the castle in Meridell soon comes across a whole bunch of Mortogs. Their owner claims that some are princes (or princesses, depending on the sex of your current pet), and offers to let you try and change them--for a price. But just how fair is this price, and how likely are you to win or lose? Before that can be answered, a quick look at the game itself is in order.

The principle is easy enough to follow. You are given a number of Mortogs to choose from. Click on the one you want to kiss. If it's a prince, you get the chance to take your winnings and quit- or the opportunity to try for a larger stake. The luckier you are (the more you get correct in a row) the higher your winnings. But lose just once, and you lose it all- right back down to nothing. Since you put up fifty Neopoints to play, that means that every time you see a Mortog explode, you just kissed fifty Neopoints goodbye.

Dropping fifty Neopoints at a pop (literally) can get quite expensive, so before you dive in and start kissing every Mortog in sight, here is the list of what you might get:

Round:
Number
of
Mortogs:
Stakes:
1
2

100

2
3

300

3
4

1,150

4
5

5,900

5
6

35,000

6
7

250,000

7
8

2,000,000

"Wow!" you shout, "two million Neopoints! I'll get rich!" Maybe, maybe not- don't be in such a hurry! Take a closer look at that chart. Note that as you go through the rounds, there are more and more Mortogs to choose from. Since only ONE of them is a prince (or princess), that means that you have a one in eight chance of getting the prince (or princess) on the last round. That's not the bad news. The bad news is that you only get there AFTER choosing right in ALL OF THE OTHER rounds! In a row! Now just what are THOSE odds like? Take a look:

Round:
Winning Percentages:
Odds as 1 in X
Single Round Cumulative
1
50%
50%
1 in 2
2
33.33%
16.67%
1 in 6
3
25%
4.17%
1 in 24
4
20%
0.83%
1 in 120
5
16.67%
0.139%
1 in 720
6
14..29%
0.0198%
1 in 5,040
7
12.5%
0.00248%
1 in 40,320

At this point it becomes obvious that getting that two million is not going to be very easy. You start to calculate the cost... fifty Neopoints times the number of times needed to win it.... uh oh. It's not looking good at all. The following table shows you the average amount spent to win each round, and the average number of Neopoints returned per try:

Round Average spent
per win
Average won
per try
1

100

50

2

300

50

3

1,200

47.9

4

6,000

49.17

5

36,000

48.6

6

252,000

49.6

7

2,016,000

49.6

A word of explanation about that "average won per try." The formula for that is to take the total payout for that level and divide by the average number of times it takes to win (expressed in the "1 in X odds" chart above). For this to apply to you, however, you must play and NEVER take your winnings until that level and then ALWAYS cash out at that level. Whatever level you cash out at is the level you are "playing for." Note that since you spend fifty points per try, getting fifty back means that on average you will break even. Getting less than fifty back means that on average you lose more than you win.

At this point in the discussion, you're probably pretty discouraged. It seems that you'll never be able to make any money at kissing those Mortogs Indeed, coming up with a winning strategy certainly does seem hopeless in the long term. But remember, these are average results, not actual! The odds are that you will come out somewhere NEAR average, but not that it will be exact. There is a more hopeful way of looking at it. Let's say that you play twice at level one (and cash out when you win.) The odds of winning each time are fifty percent. The odds of winning BOTH times are twenty five percent. This means that you have only a one in four chance of losing one hundred points. Half the time you'll break even, and the other fourth of the time you'll win a hundred points! Sure, on average, you're still faced with the zero sum game- but the actual results show that the odds favour you not losing, and possibly winning.

All very pretty, but how well does it work out in practice? In my one marathon "kissing session," it didn't work out well at all. In order to win level four, and get that 5,900 points, I wound up spending about 13,000 points. That's 260 tries to win something with odds of 1 in 120. The math says that that result has odds of over seven to one against.... so am I extremely unlucky, is the math bad, or has someone rigged the game while we weren't looking???

After bemoaning my fate, railing against the uncaring odds, and other unmentionable targets, I was left with only one superstition about choosing a "lucky" Mortog I picked the Mortog that corresponded to the number of round that I was playing on. (The first on level one, the second on level two, etc...) It seemed to help- I know that I finally won that way- but after managing to lose so much against the odds, I hardly feel qualified to tell anyone how to win!

The bottom line is simple. You'd better like kissing Mortogs for the fun of it, because the profit is more likely than not going to blow up in your face!

Week 56 Related Links

Heilley Plays It Cool: Part One
"Hey, I lucked into a rich owner!"

by scriptfox


Malindria of Meridell
But now I was Malindria, the shrimply little Shoyru, who was also in love with a prince. I sighed. How could things get any worse?

by ewanspaz



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