Question

Five coins are tossed in succession and the result is recorded, as in “HHTHT.” What is the probability that you never get an “H” immediately after a “T”?

Answer 1

well the only way to get that is either HHHHH, HHHHT, HHHTT, HHTTT, HTTTT, or TTTTT.

Answer 2

any other pattern will have a T followed by an H

Answer 3

so you compute the total number of ways the coins could fall and put that in the denominator, and the numerator is the number of possible outcomes you want.

Answer 4

I see now. Thanks for helping me! :)