Jump to content

Emprworm's Riddle #17: Mess of Tokens


Recommended Posts

man, you guys are too good. This riddle lasted barely a few hours! Apollyon, nicely done. Ok, the next riddle is going to be a bit more difficult then.

SPOILER (answer! dont read unless you want to ruin the riddle)

[hide] As apollyon pointed out, there is not one instance of the letter 'e' in that paragraph- English's most common vowel. That is indeed highly unusual.[/hide]

Link to post
Share on other sites

OK. For the last few days, people have been solving my riddles too quickly. Its now time to up the ante a bit. I am increasing the level of difficulty. If this turns out to be too hard, I will make them easier, but lets find out how good you guys are.

GOOD LUCK!

EMPRWORM'S RIDDLE #6

The Robot Duel

The tale is told of a futuristic duel of 3 robots facing each other off armed with an old fasioned revolver. The robots will each take a turn to fire their guns, trying to hit the CPU of another robot (thus destroying it). The last robot standing is the victor. What makes this tale so interesting is that each robot is programmed a bit differently when they try to hit a target. Robot #1 is only able to hit his target 30% of the time. Robot #2 can hit his target 50% of the time, while Robot #3 will never miss- he will always hit his target. To make things fair, Robot #1 will get the first shot, followed by Robot #2, and finally Robot #3. They will continue to fire in this order, until there is only 1 left. Each robot is programmed to have a will to live and will strategize to maximize his odds of living when it comes to his turn to fire.

Robot #1 is first. What should his first move be, why, and what are his odds of survival?

guns.jpg

Link to post
Share on other sites

[hide]Well it depends on the area in wich the fight is takeing place. And what area each bot is in.

What if Robot #1 where to fire then hide behind a rock & take the highland.

For Robot 1# first move RUN! hide behind something Take cover!

Robot 2%s Best move then would be to fire at 3 otherwise he'd be a goner! and he would have a better chance of hitting him then Robot 1# hiting Robot 2

So what exactly are you wanting to know here?

[/hide]

Link to post
Share on other sites

[hide]

A few combinations for R1 to survive (R=Robot) that maximize it's chances.

One of them:

R1 shoots R3 (R3 survives)

R2 shoots R1 (R1 survives)

R3 shoots R2 (R2 goes down)

R1 shoots R3 (R3 goes down)

Posibility = 10.5 %

[/hide]

Link to post
Share on other sites

[hide]

Given the information provided, it's first move it's irrelevant.

A few combinations for R1 to survive (R=Robot) that maximize it's chances.

Example 1:

R1 shoots R3 (R3 survives)

R2 shoots R1 (R1 survives)

R3 shoots R2 (R2 goes down)

R1 shoots R3 (R3 goes down)

Posibility = 10.5 %

Example 2:

R1 shoots R2 (R2 survives)

R2 shoots R3 (R3 survives)

R3 shoots R2 (R2 goes down)

R1 shoots R3 (R3 goes dwon)

Posibility = 10.5 %

Other combinations results in either R1 dead or a a 4.5% chance of survival.

[/hide]

Link to post
Share on other sites

[hide]

Robot1 will shoot at robot3 since if he destroy robot2, robot3 WILL destroy him.

Robot1 know robot2 WILL shoot at robot3 for the same reason.

Robot3 WILL shoot at robot2 when his turn comes to increase his chance.

So robot1 will shoot twice at robot3

and robot2 will shoot once at robot3

so robot1's chance of survival is at least 50%

robot2's chance is exactly 50%

and robot3's chance depend if he survive being shot at 3 times

so it is at most 50%

[/hide]

Link to post
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.
Note: Your post will require moderator approval before it will be visible.

Guest
Reply to this topic...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

×
×
  • Create New...