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”?

Question

anonymous · Answer

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

anonymous · Answer

any other pattern will have a T followed by an H

anonymous · Answer

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.

anonymous · Answer

I see now. Thanks for helping me! :)