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+--- Thread: Riddles, brain puzzles and mathematical problems (/thread-19232.html)
RE: Riddles, brain puzzles and mathematical problems - Bridge - 11-18-2012
Does the switch being open mean a current can pass through it?
Anyway, BAndrew, why are you subtracting the possibility of all of the switches being open? Shouldn't that be added to the other possibilities? So:
(1/3)^3+(1/3)^2+(1/3)^5 = 0,152
RE: Riddles, brain puzzles and mathematical problems - Froge - 11-18-2012
(11-18-2012, 01:25 AM)Bridge Wrote: Does the switch being open mean a current can pass through it?Uh....no. It's the exact opposite. A closed switch means a current can pass through it.
None of you are correct yet, not even in methodology.
RE: Riddles, brain puzzles and mathematical problems - xxxxxxxxxxxxxxxx - 11-18-2012
(11-17-2012, 11:30 PM)Chronofox Wrote: Next question:I don't quite understand the drawing... Is the negative pole supposed to be on the left and the positive pole on the right?
This crudely drawn circuit has 3 switches on top and 2 at bottom. The probability that any switch is open is 1/3.
Find the probability that a current can travel across this circuit.
![[Image: circuitp.png]](http://imageshack.us/a/img13/9099/circuitp.png)
In that case I think one would have to add the probability of the upper line being closed and that of the lower line being closed:
upper line:
2/3 x 2/3 x 2/3 = 8/27
lower line:
2/3 x 2/3 = 4/9 = 12/27
makes 20/27 or ~0,740 (period)
Both lines being closed should already be included in that I think...
That seems way too easy though... so I'm probably wrong or I misunderstood something
RE: Riddles, brain puzzles and mathematical problems - Statyk - 11-18-2012
(11-17-2012, 11:30 PM)Chronofox Wrote: Next question:The question does not state if switches are shut... Are we including these as possibly being closed switches?
This crudely drawn circuit has 3 switches on top and 2 at bottom. The probability that any switch is open is 1/3.
Find the probability that a current can travel across this circuit.
If all switches are open... there is no circuit and 0% probability. So I may just have my points wrong here... 0% probability doesn't seem right.
RE: Riddles, brain puzzles and mathematical problems - xxxxxxxxxxxxxxxx - 11-18-2012
Quote: The question does not state if switches are shut... Are we including these as possibly being closed switches?I think the five switches seen in the picture each simply have a probability of 1/3 to be open and 2/3 to be closed everytime you start the current. Closed switch means current can travel over it.
RE: Riddles, brain puzzles and mathematical problems - Froge - 11-18-2012
No. All the question asks is whether a current can flow across the circuit. That said, the five switches drawn in the circuit can be either closed or open. They are only shown as open to let you know that they are switches.
No one is correct so far.
RE: Riddles, brain puzzles and mathematical problems - BAndrew - 11-18-2012
(11-18-2012, 03:46 AM)Chronofox Wrote: No. All the question asks is whether a current can flow across the circuit. That said, the five switches drawn in the circuit can be either closed or open. They are only shown as open to let you know that they are switches.What do you mean by "across"?
It can either go the upper way (that with the three switches) or the lower way (with the two switches). Or not?
(11-18-2012, 02:21 AM)Hirnwirbel Wrote: I think the five switches seen in the picture each simply have a probability of 1/3 to be open and 2/3 to be closed everytime you start the current. Closed switch means current can travel over it.Well thank you that should be my mistake! So it will (probably) be 2/3 * 2/3 *2/3 + 2/3 * 2/3 - (2/3)^5 =
72/243 + 108/243 - 32/243 = 148/243 =~ 0,609 =~ 60,9%
RE: Riddles, brain puzzles and mathematical problems - Froge - 11-18-2012
^das correct
RE: Riddles, brain puzzles and mathematical problems - xxxxxxxxxxxxxxxx - 11-18-2012
Quote: So it will (probably) be 2/3 * 2/3 *2/3 + 2/3 * 2/3 - (2/3)^5 =Just so I can die in peace - what is it you're substracting there? The probability that all switches are closed I presume? In that case I'm relieved because it means I merely misunderstood the drawing instead of having forgotten everything I learned about math.
72/243 + 108/243 - 32/243 = 148/243 =~ 0,609 =~ 60,9%
I thought the cables continued from the corner points to the respective poles, in which case it wouldn't matter if both lines are closed or only one.
(Which IS the only thing that would make sense since there's no power source specified... but anyway.)
RE: Riddles, brain puzzles and mathematical problems - BAndrew - 11-18-2012
(11-18-2012, 09:53 AM)Chronofox Wrote: ^das correctIn English please.
(11-18-2012, 11:47 AM)Hirnwirbel Wrote: Just so I can die in peace - what is it you're substracting there? The probability that all switches are closed I presume? In that case I'm relieved because it means I merely misunderstood the drawing instead of having forgotten everything I learned about math.Yes.
I thought the cables continued from the corner points to the respective poles, in which case it wouldn't matter if both lines are closed or only one.
(Which IS the only thing that would make sense since there's no power source specified... but anyway.)