Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2008-11-20 06:26:52

cshell
Guest

urgent

50% probability of flip of head or tails.  A coin flip generated 7 heads after 10 flips.  Why?

#2 2008-11-20 07:13:25

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: urgent

Probability only helps you guess what will happen, not what actually does.
Any amount of heads could come up in 10 flips, it's just that 5 is the most likely amount to come up.

You can see that trusting probability too much is silly by thinking about what would happen if there had been 9 flips instead.
Probability says that in this case, heads will come up 4.5 times, which is clearly nonsense.


Why did the vector cross the road?
It wanted to be normal.

Offline

#3 2008-11-25 17:28:02

Macy
Guest

Re: urgent

another way to explain "why?" is we look at in the long run perhaps 10,000 flips, the probability of getting head is always 0.5 with assumption that is a fair coin. So within 10 flips that is not enough for the probalility to converge.

Board footer

Powered by FluxBB