I have a question regarding probabilities that has always confused me

it seems to me to be a paradox but please feel free to correct me

so lets take a coinflip.. it has been said that going opposite the previous outcome doesnt mean shit... so it lands heads and going tails will not net me a better probability?

but when you factor in the probabilities of streaks it does not make sense

for example if I flip a coin 10 times.. the probability of it landing heads 2 times in a row is 85.93%... so thus betting on tails would offer better probabilities when viewing it as a streak... but if I view it as a single outcome then sure its still a 50/50.. since there is two sides of the coin...

to me its an interesting paradox.. let it land heads 3 times out of the 10 flips and I'll bet on tails.. theres only a 25ish% chance of it landing heads again..

Hmmm...

it seems to me to be a paradox but please feel free to correct me

so lets take a coinflip.. it has been said that going opposite the previous outcome doesnt mean shit... so it lands heads and going tails will not net me a better probability?

but when you factor in the probabilities of streaks it does not make sense

for example if I flip a coin 10 times.. the probability of it landing heads 2 times in a row is 85.93%... so thus betting on tails would offer better probabilities when viewing it as a streak... but if I view it as a single outcome then sure its still a 50/50.. since there is two sides of the coin...

to me its an interesting paradox.. let it land heads 3 times out of the 10 flips and I'll bet on tails.. theres only a 25ish% chance of it landing heads again..

Hmmm...