# What is the probability of getting a head the fourth time in a fair toss of the coin?

The coin has been tossed three times each showing up head.The probability of getting head the fourth time should be one half but should be we instead saying it 1/16 considering the previous tosses?

• Consider how the previous flips influence the next flip. Do they? – Dave Nov 17 '19 at 13:50
• No. Imagine I gave you a coin and you toss it once. The probability of landing heads is $1/2$, right? And now I tell you that before I handed you the coin I tossed it 100 times. Do you now think that the probability of heads in your toss $1/101^2$? And what if the cashier I got the coin from tossed it a few times? Or thousands of times? – corey979 Nov 17 '19 at 14:23
• The coin can't remember anything. It doesn't know what happened last toss, or the last 100 tosses. How could the previous tosses make a difference? Also see... en.wikipedia.org/wiki/Gambler's_fallacy – Glen_b Nov 18 '19 at 2:59