Every now and then you see a puzzle, peek at the answer, then wish you'd taken the time to solve it instead of peeking. I did that with this puzzle, but I won't post the solution now so you don't make the same mistake. Enjoy!
A river has six islands in the middle, connected by 13 bridges as shown:
Enemy tanks are approaching on the other side of the river, so you've set up explosives to blow up the bridges. Unfortunately your detonators came from a dodgy batch, so each bridge has only a 50% chance of blowing up (independently of the others). What is the probability that the enemy tanks will still be able to find a route across the river?
If you find yourself doing any complicated calculations, you're barking up the wrong tree! Try a little lateral thinking instead...
EDIT: When you've solved this, there's a related, more general question to consider here...
Question
Guest
Every now and then you see a puzzle, peek at the answer, then wish you'd taken the time to solve it instead of peeking. I did that with this puzzle, but I won't post the solution now so you don't make the same mistake. Enjoy!
A river has six islands in the middle, connected by 13 bridges as shown:
Enemy tanks are approaching on the other side of the river, so you've set up explosives to blow up the bridges. Unfortunately your detonators came from a dodgy batch, so each bridge has only a 50% chance of blowing up (independently of the others). What is the probability that the enemy tanks will still be able to find a route across the river?
EDIT: When you've solved this, there's a related, more general question to consider here...
Link to comment
Share on other sites
Top Posters For This Question
2
Popular Days
Mar 19
15
Dec 4
12
Mar 18
10
Mar 20
8
Top Posters For This Question
Yoruichi-san 2 posts
Popular Days
Mar 19 2008
15 posts
Dec 4 2008
12 posts
Mar 18 2008
10 posts
Mar 20 2008
8 posts
Posted Images
57 answers to this question
Recommended Posts
Join the conversation
You can post now and register later. If you have an account, sign in now to post with your account.