maths based riddles... See if you can answer them.
Discussion
dvance said:
Einion Yrth said:
samdale said:
Einion Yrth said:
I'll try and keep this one alive for a bit - again with a logic puzzle rather than mathematics.
You are trapped in a room with two guarded doors; one door leads to certain death, the other to escape. One of the guards always tells the truth, the guard of the other door always lies. You are permitted to ask one question of either, but not both, of the guards. What question will ensure that you exit through the safe door?
Been watching Labyrinth?You are trapped in a room with two guarded doors; one door leads to certain death, the other to escape. One of the guards always tells the truth, the guard of the other door always lies. You are permitted to ask one question of either, but not both, of the guards. What question will ensure that you exit through the safe door?
dvance said:
Einion Yrth said:
samdale said:
Einion Yrth said:
I'll try and keep this one alive for a bit - again with a logic puzzle rather than mathematics.
You are trapped in a room with two guarded doors; one door leads to certain death, the other to escape. One of the guards always tells the truth, the guard of the other door always lies. You are permitted to ask one question of either, but not both, of the guards. What question will ensure that you exit through the safe door?
Been watching Labyrinth?You are trapped in a room with two guarded doors; one door leads to certain death, the other to escape. One of the guards always tells the truth, the guard of the other door always lies. You are permitted to ask one question of either, but not both, of the guards. What question will ensure that you exit through the safe door?
Did you just change the wording from the monte card game and 2 black cards and 1 red, to 2 goats and an Mx-5?
MacGee said:
The airplane will not take off. It's not the speed but the movement of sir and pressure difference between upper and lower side of leading edge of wing! So it requires air movement which doesn't occur if air not moving!
I think!
Do you think that the wheels provide thrust rather than the engines?I think!
Du1point8 said:
dvance said:
A similar one is: You're at a TV show where you're faced with three doors. There are two goats and an MX-5 behind them. Your task is to choose the door behind which the ultimate driving machine is placed. You choose a door, but then the TV host opens up one of the remaining doors to reveal a goat. The question now is what is the best strategy (the one that maximizes your chances of winning) -- to keep your choice or switch your chosen door?
The short answer is yes. Did you just change the wording from the monte card game and 2 black cards and 1 red, to 2 goats and an Mx-5?
RizzoTheRat said:
Du1point8 said:
dvance said:
A similar one is: You're at a TV show where you're faced with three doors. There are two goats and an MX-5 behind them. Your task is to choose the door behind which the ultimate driving machine is placed. You choose a door, but then the TV host opens up one of the remaining doors to reveal a goat. The question now is what is the best strategy (the one that maximizes your chances of winning) -- to keep your choice or switch your chosen door?
The short answer is yes. Did you just change the wording from the monte card game and 2 black cards and 1 red, to 2 goats and an Mx-5?
You're playing three-card monte. Two cards are red, one is black. (Note: In three-card monte, the three cards are face down and you try to pick the black card in order to win.) You pick the middle card. After you pick, the dealer shows that one of the cards you have not chosen is red. You are given the chance to switch your selection. Should you?
Yes (below is text book answer I have for it, I recognised the format straight away)
By switching, you are betting that the card you initially chose was red. By not switching, you are betting that the card you initially chose was black. And because two out of three cards are red, of course, betting on red is the way to go.
Let's break it down, starting with the not switching case. Say the first card you chose was the black one. This happens one-third of the time. If you do not switch your choice, you win. Needless to say, the other two-thirds of the time, having picked a red card, and deciding not to switch, you lose. In other words, if you do not switch, you win a third of the time.
Now let's examine what happens when you switch cards. Say the first card you chose was the black one. Again, this would happen one-third of the time. If, after being shown a red card, you switch, you lose. The other two-thirds of the time, if you switch, you win because the dealer has already shown you that one of the cards you did not pick is red. Given the premise that your original pick was a red card, the card you are switching to must be the black one. You will win two-thirds of the time.
Einion Yrth said:
I'll try and keep this one alive for a bit - again with a logic puzzle rather than mathematics.
You are trapped in a room with two guarded doors; one door leads to certain death, the other to escape. One of the guards always tells the truth, the guard of the other door always lies. You are permitted to ask one question of either, but not both, of the guards. What question will ensure that you exit through the safe door?
Piece of piss: Ask them both to lie.You are trapped in a room with two guarded doors; one door leads to certain death, the other to escape. One of the guards always tells the truth, the guard of the other door always lies. You are permitted to ask one question of either, but not both, of the guards. What question will ensure that you exit through the safe door?
MacGee said:
The airplane will not take off. It's not the speed but the movement of sir and pressure difference between upper and lower side of leading edge of wing! So it requires air movement which doesn't occur if air not moving!
I think!
Absolutely correct - aeroplanes only take off when the air speed over the wings is sufficient...I think!
On this conveyor belt the plane will be standing still as far as the air is concerned
kVA said:
MacGee said:
The airplane will not take off. It's not the speed but the movement of sir and pressure difference between upper and lower side of leading edge of wing! So it requires air movement which doesn't occur if air not moving!
I think!
Absolutely correct - aeroplanes only take off when the air speed over the wings is sufficient...I think!
On this conveyor belt the plane will be standing still as far as the air is concerned
I am surprised it took mythbusters to prove it. I can't see how it has become as contentious as it is. I don't think the wheels and tyres are designed to cope with twice the intended ground speed - which is what they will be rotating at - so my bet is that, if it's a jet they will experience a blowout and abort takeoff or crash while trying, since I would expect that trying to drag a set of tyreless undercarriage units along a conveyer belt trying to drag the whole lot in the opposite direction may be more than the engines can overcome.
If the conveyor belt is going in the opposite direction as suggested then it would be entraining air, meaning the planes airspeed would be greater than its ground speed, so the wheels wouldn't be going at quite double the usual speed but you make a fair point.
Is there some reason this non problem keeps cropping up on PH?
Is there some reason this non problem keeps cropping up on PH?
You have a jug of milk and a jug of black coffee.
You take a spoonful of milk from the milk jug, pour it into the coffee, and stir thoroughly.
You then take a spoonful from the coffee jug and pour it into the milk jug.
Do you end up with more coffee in the milk or more milk in the coffee?
You take a spoonful of milk from the milk jug, pour it into the coffee, and stir thoroughly.
You then take a spoonful from the coffee jug and pour it into the milk jug.
Do you end up with more coffee in the milk or more milk in the coffee?
Dr Jekyll said:
You have a jug of milk and a jug of black coffee.
You take a spoonful of milk from the milk jug, pour it into the coffee, and stir thoroughly.
You then take a spoonful from the coffee jug and pour it into the milk jug.
Do you end up with more coffee in the milk or more milk in the coffee?
More milk in the coffee as the spoon taken from the coffee will contain a tiny amount of milk whereas the spoon taken from the milk was all milk to start with.You take a spoonful of milk from the milk jug, pour it into the coffee, and stir thoroughly.
You then take a spoonful from the coffee jug and pour it into the milk jug.
Do you end up with more coffee in the milk or more milk in the coffee?
Terrible explanation but pretty sure it's right
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