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Okay, so probability...
The frequency of the event divided by the total number of possible events...
So, the probability of a coin landing heads up after being tossed on the floor, is 1/2..
Or 50%.. but there are three possibilities here... Heads, tails, or... Landing on it's edge... So why isn't the probability actually 33% that the coin will be heads?

Cutiebeauty 9 July 8

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0

When was the last time you saw a coin land on its edge? When was the last time you heard someone call 'edge!'?

0

Edge is excluded from possible event as it is not wanted to accept. if anyone want to accept the edge as ppssible event then edge must prepared as like as head or tail.

If YOU want to do that, you go right ahead.

WTF!

1

My research shows that your initial premise is faulty. Probability is the ratio of equally likely events.
"The probability of an event is a ratio that compares the number of favorable outcomes to the number of possible outcomes, assuming each outcome is equally likely to occur.". Since we know the chances of a coin landing on its edge isn't close to whether it lands on either side you can't throw that in and try to make it equal.

lerlo Level 8 July 8, 2019

Ah... I didn't know about the condition of the events being equally likely. Thanks πŸ™‚

Isn't it actually IMPOSSIBLE?

@Storm1752 my belief, yes. Could it happen? I suppose

@Storm1752 of course not. You have never dropped a coin and had it stay on its edge? I've seen that happen several times.

0

When was the last time you saw a coin land on its edge?

THHA Level 7 July 8, 2019
1

The purpose of a coin toss is to have one of two outcomes, the third "possible" outcome is irrelevant to the purposes of a coin toss and so is generally disregarded, under such circumstances.
As a purely mathematical or statistical experiment then yes it should be counted.

No, because it's IMPOSSIBLE, so can be statistically ignored.

@Storm1752 Highly improbable, but not impossible

2

It always lands on its edge. It just doesn't stay there.

Ahhhh !!! Thinking out of the box !!! I like this approach !!!! Strictly speaking you are correct 😎😎

@IamNobody yes. I have a problem thinking when I'm in the Box.

0

It's also possible that the sun explodes while the coin is mid air, but we don't include that either.

Why would you make such a ridiculous comment? I've seen a coin land and remain on its edge several times, therefore it is not beyond the realm of possibility, though statistically insignificant.

1

It's possible that gravity may vanish out of the blue and the coin stay floating, shall the probability be 25% then? Of course not, the possibility for gravity to vanish is null for practical purposes and the possibility for the coin to land vertical is very close to null.... therefore, 50 50 is the more accurate ball park prediction.

No, it's not possible for gravity to vanish.. do you also think it's possible that God exists? Please... Think logically...

@Cutiebeauty I was trying to make a case on possibilities with low probability but I see that I have failed. No problem. Talk to the expert that really knows how this work. Talk to a coin. Tosse it and keep carefull record of the results. As the number of events increase, you will see how the 50 50 pattern emerges. If you happen to have an event where the coin land vertical then you will have enough data for tales, head and vertical to see why it cannot be 33%, which is your question. The coin, the experiment and the numbers will give you the answer.

It IS null.

That's not part of the hypothetical.

0

Well, if you count the odds like that, then what about the chance that the coin suddenly deforms to have two heads on either face? or what if the coin suddenly turns into a flat washer? Or a ball? or every atom suddenly and spontaneously melts and turns into a pile of molten metal before re-solidifying into a metal figure of Ceasar? Of course it could also be a statue of George Washington, but it is just as likely to be a statue of Lincoln riding a T-rex.

Therefore the odds that the coin lands on heads are infinitesimal, because there are infinite possibilities for how the coin could end up after landing on the floor.

Okay.. if you don't have an opinion, just say so...

@Cutiebeauty I'm just showing how ridiculous it would be to count the odds like that through the use of satire. If you want to count the odds like that, saying that there is a 33% chance the coin lands on it's side is wrong because there are still more possibilities, like all the ridiculous ones I listed. That would be the percentage of possible outcomes, and is more or less a totally irrelevant way to define finite sums, because you could just say "there are 3 possible outcomes"

We say the odds are 50% that a coin lands on heads not because there are only two options, but because all the other possibilities are incredibly unlikely.

@Happy_Killbot unlike your possibilities, a coin landing on it's edge is actually possible... So I'm asking why isn't this taken into account...?

@Cutiebeauty All the things I said are possible, just incredibly unlikely. For example, some coins have been accidentally minted with two of the same side. It's also possible that the coin melts if it encounters a large heat source, for example it could fall into a fire. These things all have a non zero probability, same with the coin landing on it's edge. For a coin to land like that requires very specific circumstances, and if we can change those circumstances you can make the coin land however you want. You could flip the coin into a machined funnel that would make the chance it lands on it's edge nearly 100%. It's about the usefulness of that definition.

0

I bet the odds of landing on an edge are less than 33%.lol Again forgot to scroll down and someone already said this.Why can't we erase comments?

0

Then there's Murphy's Law, like

how badly do you need it to land on one particular side?

0

Because the government paid for the test.

Test? What test?

@Cutiebeauty [ntrs.nasa.gov]

@azzow2 I'm not looking at a link.. tell me yourself what test you're talking about.. I want a discussion here...

@Cutiebeauty In the late 1960` and early 1970s, the government funded some scientific test one of which was to see how a frisbee flies, remote viewing, probability test, etc.. I have no idea what the results were or why they wasted so much tax dollar to find the results.

4

Because landing on its edge is not nearly as probable as it landing on a side. The actual probabilities are more like 49.99999999999 for heads, 49.99999999999 for tails, and 0.00000000002 for edge. And that's being generous for landing on edge.

1of5 Level 8 July 8, 2019

Yeah, I get that... I'm actually talking about the way we go about defining the odds... You get what I'm saying?

We don't flip a coin thousands of times and then state the results like in many scientific experiments .. we constructed a definition..

@Cutiebeauty The odds are so negligible for it landing on it’s side that it’s not worth giving them.

@Cutiebeauty the odds can be calculated using surface area ratios, friction, velocity, and momentum.

Although there have been studies where they do coin flip after coin flip, and i don't think it ever hits a true 50/50. But i also don't think there were many edge landings, either.

@Marionville ok, you're approaching my question with foreknowledge of the results.. I'm considering the actual system of calculating the probability of the event.. the event divided by all possible outcomes. .

@1of5 okay, good answer. . But all that isn't included in the calculation of the probability...

@1of5 btw, you're very intelligent...

@Cutiebeauty thanks. I mask it well by being a jerk. πŸ™‚

I did forget to add that the initial side up also influences the outcome.

This vid is pretty cool, btw.
[khanacademy.org]

@1of5 initial side up? Would that work with the new York daily number or any other lottery?

@Cutiebeauty don't I wish πŸ™‚

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