Pokemon Probability Problem #1

Hiya!  This is Master 1080 again.
This time I do not have an article but a puzzle that
utilizes your math skills.  Since I am studying
probability in my school, I decided to test my skills
by creating this problem.  If you do not know how to
work with combinations, then I suggest you stop
reading this article.  However, feel free to try and
solve it if you like.  When you get an ANSWER, you may
E-MAIL me at the address given at the bottom of this
article.  Hopefully I will have the correct answer.
This is the first time I’m doing this so I hope
someone will be interested enough to attempt this math
problem.

Here’s the problem:

You just drew your card and find that it’s a Sabrina’s
Gaze.  You now have a total of 7 cards in your hand.
Of those seven you have the Sabrina’s Gaze that you
just drew and a Mr. Fuji.
Your situation is that you have a Sneasel as your
Active with 5 Damage Counters and a poison counter on
it.  It has a Darkness and Grass Energy attached to
it.  Your bench is a Scyther and Cleffa with no energy
cards attached to them.  Your opponent has a Rapidash
and had just used Agility and flipped heads.  Your
opponent’s only benched Pokemon is a Gligar with no
energy and 5 damage counters.  Also there’s a Rocket’s
Training Gym in play.  Both you and your opponent have
one prize left.

>From a previous Computer Search, you discovered you
have exactly one Gust of Wind and Scoop up remaining
in your deck.  You also find out there are no more
Energy Cards in your deck.  You retreat Sneasel to the
bench discarding the Grass Energy (because of Rocket’s
Training Gym) and placed the Scyther or Cleffa as your
active.  Now that Sneasel is in your bench, you can
use Mr. Fuji and send Sneasel and all cards attached
to it back into your deck.  You then use play the
Sabrina’s Gaze and shuffle your hand of 5 cards
(remember that you used Mr. Fuji, and Sabrina’s Gaze
is not shuffled back into the deck) back into your
deck and then you draw a new hand of 5 cards.

You hope that when you get your new hand that the
cards Sneasel, the 1 Darkness Energy, Scoop up, and
Gust of Wind are in your hand.  Once you get your
Sneasel, you play it and attach the Darkness Energy to
it.  You use Scoop Up on your current Active Pokemon
and replace it with Sneasel.  Now that you have one
Darkness Energy on your Sneasel, you can now finish
off the Gligar with the Gust of wind and Sneasel’s
Fury Swipes attack.

What is the probability that you’ll win the game on
this turn?

Here are the numbers for people who need to see it.
Prizes ­ 1
Active Pokemon ­ Sneasel w/ 1 Darkness and 1 Grass
Hand ­ Sabrina’s Gaze, Mr. Fuji, and 5 other cards
Bench ­ Scyther and Cleffa w/ no energy
Deck ­ 9 cards (that are not energy) + 1 Gust of Wind
+ 1 Scoop Up
Discard ­ 36 (has no effect on this problem)

Requests for answers and responses about this
problem/article and how I wasted my time to Master
1080 at the_master1080@yahoo.com/


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