well first you can simply to a class of 5 men since women don't fart
they toot
With 5 men and 5 women, what is the probability that two people fart at the same time?
P. S. This is not a homework problem.
time is continuous. the probability of any two events happening at the same time is 0.
That's only if the events are instantaneous. We're talking about events with some duration, so "at the same time" means they overlap in duration somewhat.
Planck time?time is continuous. the probability of any two events happening at the same time is 0.
The question needs to be clarified: Must they simply overlap in duration? Or are they to be initiated at the same instant?That's only if the events are instantaneous. We're talking about events with some duration, so "at the same time" means they overlap in duration somewhat.
And indeed, the definition of "fart" would need to be defined...right down to some rather "specific" details concerning behavior of lightly pressurized gases, and the physics of a sphincter.hmm... i'll have to ask a professor what the appropriate distribution for modelling it would be.
Planck time?
(Though if we're going to a time that brief, the probability would indeed be so close to zero that it would make no difference.)
The question needs to be clarified: Must they simply overlap in duration? Or are they to be initiated at the same instant?
And indeed, the definition of "fart" would need to be defined...right down to some rather "specific" details concerning behavior of lightly pressurized gases, and the physics of a sphincter.
That's only if the events are instantaneous. We're talking about events with some duration, so "at the same time" means they overlap in duration somewhat.
Odds are pretty close to zero, so no sense trying to use that as an excuse. If you let one rip everyone is going to know it was you and you alone.
One detail you forgot that the OP posted.The odds increase as time increases as more chance was given for it to happen. Theorically if they are there for infinity the odds are probably 100% as it's bound to happen at some point in time.
So that's 10 people total. It could be 1 minute, 1 hour, 1day, .... infinity.What is the probability that two people fart at the same time?
One detail you forgot that the OP posted.
So that's 10 people total. It could be 1 minute, 1 hour, 1day, .... infinity.
2 people out of 10 farting at the same time, probably approaching zero%. One could fart 1 second ahead and stop, the second could start a few milliseconds after 1st person stops... but that wouldn't be the same time. ^_^:biggrin: WTF is this question about?
Planck time?
(Though if we're going to a time that brief, the probability would indeed be so close to zero that it would make no difference.)
The question needs to be clarified: Must they simply overlap in duration? Or are they to be initiated at the same instant?
And indeed, the definition of "fart" would need to be defined...right down to some rather "specific" details concerning behavior of lightly pressurized gases, and the physics of a sphincter.
I just had a thought.
for simplicity's sake, until I talk to a professor and get this sorted, let's assume that on average a person is expected to spend lambda time per hour farting. we'll also assume that people's farting is independent (one person's farts does not affect another person's farts)
i'll finish this thought tomorrow.