perplexus.info :: Probability : tic-tac-toe

tic-tac-toe (Posted on 2004-07-30)

If I put nine pieces of paper, with a digit from 1-9 written on each one, into a hat, and pull 3 out without replacement, what is the likelihood that I will select three numbers that result in a winning tic-tac-toe?

 1 | 2 | 3 
---+---+---
 4 | 5 | 6 
---+---+---
 7 | 8 | 9

Submitted by ThoughtProvoker

Rating: 1.8333 (6 votes)

Solution: (Hide)

There are 9*8*7/(3*2*1) = 84 equally likely combinations you could take, and of them 8 are winners.
So the likelihood (probability) is 8/84.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Solution	K Sengupta	2008-03-06 10:50:22
Solution	Dej Mar	2008-03-05 21:08:30
Answer	K Sengupta	2008-03-05 14:37:24
TRY THIS	Mark	2004-10-04 09:05:19
re: answer	Nosher	2004-08-02 22:40:55
answer	neshal	2004-08-02 05:40:26
Elementary.	Vee-Liem Veefessional	2004-07-31 03:43:15
re(2): Answer	Richard	2004-07-30 23:41:17
re: order doesn't matter	Tristan	2004-07-30 21:47:14
combos	rixar	2004-07-30 18:25:16
Wrecking ball solution	Penny	2004-07-30 18:05:43
re: Answer	Juggler	2004-07-30 13:11:40
order doesn't matter	Danny	2004-07-30 13:08:34
Answer	Oskar	2004-07-30 13:01:15

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