I'm in a mathematical dilemna, either my brain can't work this simple task out or it just doesn't want to.
Say you're tossing a coin
we all know that the probability is 0.5^n where n = the number of tosses
so probabilty of getting 10 in a row of Heads = 0.5^10
So if we plot some kinda graph
we know that the probability of like getting 1H or 1T is 0.5
and it decreases as we go along etc......
my problem of understanding is that..... apparantly it's the same probability of switching, regardless of when u start
for example what's the probability that it switches from H to T or T to H?
like, if someone's tossing a coin and asked u to guess.......... and he hasn't started yet.........
and u guess Heads, and it comes up as tails, and u keep guessing heads, and after 10 goes, it's all tails...... is that as likely happening as...............
if he'd been tossing the coin all day and he's tossed 4 tailsalready, and u start ur 10 guessses now and u choose all heads..........
will there be more probability of u losing now or when he FIRST started? or it's the same?
if it's the same, wouldn't tossing 14 tails in a row be less likely than tossing 10 in a row?
