Probability question

What is the probability that one player wins 5 times in 10 games, with 7 players in the game and each of the players have equally chances of wining?

That reminds me a probability formula (if I am not mistaken la~).



Did I use the correct formula?

Tell me if I am wrong..










So, I did some calculations, replaced the data given into the above formula....

X = 5 (won 5 times)
p = 1/7 (each player has equal chance in wining the game and 7 players playing)
q = 6/7 (1-p)
n = 10 (10 games played)

P(5) = { [10C5] [(1/7)^5] [ (6/7)^(10-5) ] }
= 0.0069371
= 0.69%

Wow!!! Less than 1%!!! Amazing!!!

Why this probability question is asked?

Because this kinda of crap was happened on me last Saturday, 12 April.

I was playing "draw tortoise" with my friends at Tribe. We randomly took out a card out of 52 cards played as our "tortoise" card, with the remaining 51 cards in played. (i.e. No one knows what is the "tortoise" card before the game ends)

Basic rule of the game:
1) discard the cards in pair(cards in your hand).
2) take a card from next player randomly until you have no more cards in hand.

Well, we played 10 games on that night. The players were KJ, KC, CH, Sam, Sandy, Isabelle and me.


Don't know why, the "tortoise" card kept stick to me until the end of games for 5 games!!!!!!!

What the luck I had for that night?! I was called "tortoise king"!! Wat da fart ?!





Sandy and Isabelle -
taken at Tribe

There were 2 "tortoise queens" of the night la~~
(I didn't mention who they are ya~~hohohoho)

They got "tortoise" 2 times each ~~ and KJ got once....