[fortheDeclaration]

The odds of winning 6 coin tosses is 50-50

Each toss coin event is separate.

It is the gamblers fallacy to count the events as together.

[Nervous Tick]

>> It is the gamblers fallacy to count the events as together.

It’s mathematically sound to compute the probability of a particular outcome of a series of random events. Which is what was done when they say “the odds of six coin tosses all being heads is X%”.

However, for any SUBSEQUENT coin toss, what came before doesn’t affect the odds of THAT TOSS, which are still 50-50.

[gogeo]

Your statement is incorrect.

[goldbux]

The probability of winning six consecutive coin flips is one in 64. Thats 0.015625, same as 1.5625%. That's 63-to-1 against; not impossible odds, just unlikely. Unlikely events occasionally happen.

Very basic probability arithmetic.

[Gumdrop]

The odds of coin tossing and winning all six as heads - is the same as having six kids and all 6 are the same gender. So your statement that the chances are 50/50 is only correct when you only consider each toss individually.

In reality it is .5 x .5 x .5 x.5 x .5 x .5 = .0156 o 1.56%
With fractions you can use 1/2 x 1/2 etc. Taking it to 6 times you have 1/64.