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Author Topic: BitPistol - Are you smart enough to solve these puzzles? >>>TEST your brains <<<  (Read 5565 times)
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August 01, 2016, 08:05:40 PM
 #101


Sorry, but Newbies cannot take part in this promotion
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slimdzl69
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August 03, 2016, 04:46:50 PM
 #102

slimdzl69@gmail.com
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August 03, 2016, 08:06:08 PM
 #103


What should that mean?
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August 03, 2016, 10:08:19 PM
 #104


Anyway, unfortunately newbies can't participate. You can try to communicate more, to get enough authority  Wink
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August 07, 2016, 11:10:33 AM
 #105

As game is about shooting from 6 bullet pistol we have a great puzzle for you to solve!

Imagine a 6 bullet revolver as it is in BitPistol, which is loaded with 2 bullets in a row:



Now imagine you are playing russian roulette with your opponent! He just made an empty shot and passes revolver to you!

QUESTION: Would you spin the cylinder to randomize your turn or trigger the pistol right away without spinning? We are waiting for correct answers!
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August 07, 2016, 11:47:20 AM
 #106

As game is about shooting from 6 bullet pistol we have a great puzzle for you to solve!

Imagine a 6 bullet revolver as it is in BitPistol, which is loaded with 2 bullets in a row:



Now imagine you are playing russian roulette with your opponent! He just made an empty shot and passes revolver to you!

QUESTION: Would you spin the cylinder to randomize your turn or trigger the pistol right away without spinning? We are waiting for correct answers!


Great puzzle! The answer is trigger the pistol right away .

Because you know the previous shot was empty, there are only 4 possible positions possible. The chance to hit the bullet is thus 1 in 4.

If you spin again, there are 2 out of 6 killing shots, or 1 in 3 to hit a bullet.

1 in 4 is better odds than 1 in 3 to eat a bullet, thus you shoot the pistol right away without spinning.

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August 07, 2016, 09:12:17 PM
 #107

As game is about shooting from 6 bullet pistol we have a great puzzle for you to solve!

Imagine a 6 bullet revolver as it is in BitPistol, which is loaded with 2 bullets in a row:



Now imagine you are playing russian roulette with your opponent! He just made an empty shot and passes revolver to you!

QUESTION: Would you spin the cylinder to randomize your turn or trigger the pistol right away without spinning? We are waiting for correct answers!


Great puzzle! The answer is trigger the pistol right away .

Because you know the previous shot was empty, there are only 4 possible positions possible. The chance to hit the bullet is thus 1 in 4.

If you spin again, there are 2 out of 6 killing shots, or 1 in 3 to hit a bullet.

1 in 4 is better odds than 1 in 3 to eat a bullet, thus you shoot the pistol right away without spinning.

Great job! That is correct answer! Seems that we need to come with something more trickier next time! =)
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August 07, 2016, 09:20:44 PM
 #108

http://prntscr.com/c2trhy

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August 08, 2016, 08:06:08 AM
 #109


Great job! That is correct answer! Seems that we need to come with something more trickier next time! =)

Thanks! I love these type of mathematical and logics puzzles. They really challenge you and in this case also provide you a bit of insight in the odds for winning (or surviving Wink) this gambling game.

I hope you can come up with another challenging puzzle to put me up to a bit of extra thinking!

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August 13, 2016, 09:19:43 AM
 #110


Great job! That is correct answer! Seems that we need to come with something more trickier next time! =)

Thanks! I love these type of mathematical and logics puzzles. They really challenge you and in this case also provide you a bit of insight in the odds for winning (or surviving Wink) this gambling game.

I hope you can come up with another challenging puzzle to put me up to a bit of extra thinking!


Ok, here is another challenge for you. Imagine that you and your opponent start with 1 bullet loaded into the 6 slot. Both you and him will have to shoot without spinning and after shot pass the pistol to another.

The question is do you prefer to start as first, or shoot in second turn?
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August 13, 2016, 04:14:42 PM
 #111


Great job! That is correct answer! Seems that we need to come with something more trickier next time! =)

Thanks! I love these type of mathematical and logics puzzles. They really challenge you and in this case also provide you a bit of insight in the odds for winning (or surviving Wink) this gambling game.

I hope you can come up with another challenging puzzle to put me up to a bit of extra thinking!


Ok, here is another challenge for you. Imagine that you and your opponent start with 1 bullet loaded into the 6 slot. Both you and him will have to shoot without spinning and after shot pass the pistol to another.

The question is do you prefer to start as first, or shoot in second turn?

Cool puzzle, these are always fun to try and solve!
I'd say that I would prefer to start first, as if I start, I'd have a 1 in 6 chance of taking the shot, while if I go second, I'd have a 1 in 5 chance of biting a bullet. 1 in 6 are better odds, so I'd like to start first.


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August 13, 2016, 04:31:10 PM
 #112

Quote

Ok, here is another challenge for you. Imagine that you and your opponent start with 1 bullet loaded into the 6 slot. Both you and him will have to shoot without spinning and after shot pass the pistol to another.

The question is do you prefer to start as first, or shoot in second turn?

Give me frist shoot...  Wink
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August 13, 2016, 05:47:38 PM
 #113


Great job! That is correct answer! Seems that we need to come with something more trickier next time! =)

Thanks! I love these type of mathematical and logics puzzles. They really challenge you and in this case also provide you a bit of insight in the odds for winning (or surviving Wink) this gambling game.

I hope you can come up with another challenging puzzle to put me up to a bit of extra thinking!




Ok, here is another challenge for you. Imagine that you and your opponent start with 1 bullet loaded into the 6 slot. Both you and him will have to shoot without spinning and after shot pass the pistol to another.

The question is do you prefer to start as first, or shoot in second turn?

Cool puzzle, these are always fun to try and solve!
I'd say that I would prefer to start first, as if I start, I'd have a 1 in 6 chance of taking the shot, while if I go second, I'd have a 1 in 5 chance of biting a bullet. 1 in 6 are better odds, so I'd like to start first.




You must consider, that if he misses his second shot, then the pistol will be in your hands again!

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August 13, 2016, 06:51:51 PM
 #114

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Ok, here is another challenge for you. Imagine that you and your opponent start with 1 bullet loaded into the 6 slot. Both you and him will have to shoot without spinning and after shot pass the pistol to another.

The question is do you prefer to start as first, or shoot in second turn?

Give me frist shoot...  Wink

Can you explain why would you like to shoot in the first turn?  Huh
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August 13, 2016, 06:56:27 PM
 #115

You must consider, that if he misses his second shot, then the pistol will be in your hands again!

Ah, but it's a matter of probability.

You have a 1/6, then 1/4, then 1/2 chance to shoot yourself if you go first.

For your opponent, it's a 1/5, then 1/3, and then 100% chance of shooting themselves.

Round 1: You have an 83.333% chance of survival
Round 2: Your opponent has an 80% chance of survival.
Round 3: The chances of you surviving both round 1 and round 3 (on average) is 62.5% or 15/24
Round 4: The chances of them surviving both round 2 and 4 (on average) is 53.333% or 8/15
Round 5: The chances of you surviving all rounds 1, 3, and 5 is 31.25% or 5/16
Round 6: Your opponent loses, guaranteed.

You always have a better chance of survival going first.



I didn't put in the isolated case percentages because that's obvious. (And gambler's fallacy doesn't apply to this case, since future CAN be anticipated if you look at the rounds)

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August 13, 2016, 07:42:50 PM
 #116

You must consider, that if he misses his second shot, then the pistol will be in your hands again!

Ah, but it's a matter of probability.

You have a 1/6, then 1/4, then 1/2 chance to shoot yourself if you go first.

For your opponent, it's a 1/5, then 1/3, and then 100% chance of shooting themselves.

Round 1: You have an 83.333% chance of survival
Round 2: Your opponent has an 80% chance of survival.
Round 3: The chances of you surviving both round 1 and round 3 (on average) is 62.5% or 15/24
Round 4: The chances of them surviving both round 2 and 4 (on average) is 53.333% or 8/15
Round 5: The chances of you surviving all rounds 1, 3, and 5 is 31.25% or 5/16
Round 6: Your opponent loses, guaranteed.

You always have a better chance of survival going first.



I didn't put in the isolated case percentages because that's obvious. (And gambler's fallacy doesn't apply to this case, since future CAN be anticipated if you look at the rounds)

I can't agree with you. You have to pay more attention to this case. I will keep the secret a bit longer so others can participate too in solving the puzzle
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August 13, 2016, 11:13:18 PM
 #117

You must consider, that if he misses his second shot, then the pistol will be in your hands again!

Ah, but it's a matter of probability.

You have a 1/6, then 1/4, then 1/2 chance to shoot yourself if you go first.

For your opponent, it's a 1/5, then 1/3, and then 100% chance of shooting themselves.

Round 1: You have an 83.333% chance of survival
Round 2: Your opponent has an 80% chance of survival.
Round 3: The chances of you surviving both round 1 and round 3 (on average) is 62.5% or 15/24
Round 4: The chances of them surviving both round 2 and 4 (on average) is 53.333% or 8/15
Round 5: The chances of you surviving all rounds 1, 3, and 5 is 31.25% or 5/16
Round 6: Your opponent loses, guaranteed.

You always have a better chance of survival going first.



I didn't put in the isolated case percentages because that's obvious. (And gambler's fallacy doesn't apply to this case, since future CAN be anticipated if you look at the rounds)

I can't agree with you. You have to pay more attention to this case. I will keep the secret a bit longer so others can participate too in solving the puzzle

Hint: The problem is in how you calculate odds
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August 13, 2016, 11:34:43 PM
 #118

Hint: The problem is in how you calculate odds

Ah. My bad.

You want to go second. I hadn't miscalculated necessarily, but it was in isolated cases. Here's the revised edition:

Round 1: P1 has a 1/6 chance of dying
Round 2: has a 5/6 chance of occurring, P2 has a 1/5 chance of dying, which equates to a 1/6 chance of dying.
Round 3: has a 4/6 chance of occurring, P1 has a 1/4 chance of dying, which equates to a 1/6 chance of dying.
Round 4, 5, and 6 follow the same format.

Looks like I screwed up!

And you want to be second, since though the odds are the same, P1 COULD shoot themselves on the first round.

Though if you average it out it doesn't really matter. Either works.

Alternate solution: go first and shoot your opponent.

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August 13, 2016, 11:47:23 PM
 #119

A 1 in 3 chance of losing those that make it provably fair or the opposite ?
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August 14, 2016, 12:05:24 AM
 #120

Would it not be a pure 50/50 chance (ie. "fair") regardless of where you started?

There are an even number of chambers and 2 players, so each player will have 3 chambers that they could potentially use. Regardless of who goes first, each player has an equal number of chambers assigned to them, so after the spin, both players have an equal chance of having a bullet in one of their chambers.

And because you can't change which chambers you have (no spinning) the odds of getting a bullet overall don't change from 50/50.

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