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 Sep22 accepted Probability in flipping a coin Sep22 comment Probability in flipping a coin shouldn't the answer be $1-p-p^2-p^3-p^4$ because $1-p^4$ only excluded the possibility that all of the first 4 flips are H, we can also have HTHHH, HHTHHH, HHHTHHH, therefore those probabilities need to be subtracted as well. Sep22 comment Probability in flipping a coin ok yes, you're correct. ill think about it a little bit more Sep22 comment Probability in flipping a coin your answer is very insightful, but after reading them, I tend to side with the answer $1-p$ simply because we can have any gibberish after the first flip, for example, THTHTHTTH, if we want to form HHHH, we must have HHH, and because we have ensured that the first roll is not an H, we will eventually have THHH, in my suggested gibberish example, it would turn out to be THTHTHTTHHH, there we have THHH before HHHH. So $1-p$ excludes the possibility that on the first flip, we have a H, there's the answer we're looking for. Sep22 accepted Why are these two events not independent? Sep22 revised Why are these two events not independent? added 1 characters in body Sep22 revised Why are these two events not independent? edited body Sep22 revised Why are these two events not independent? added 2 characters in body Sep22 awarded Custodian Sep22 comment Why are these two events not independent? any idea on how to make a carriage return in the editor? Sep22 reviewed Approve Why are these two events not independent? Sep22 comment Why are these two events not independent? ok, this is a clear explanation,thank you! I'll accept the answer when the system allows Sep22 revised Why are these two events not independent? added 2 characters in body Sep22 comment Why are these two events not independent? how do i start a new line? I hit "enter" in the editor but Pr(E) =.51 Pr(F) =.91 E $\bigcap$ F = { HT, TH} = .21 + .21 = .42 $\neq$ Pr(E) $\cdot$ Pr(F) are still on the same line.... Sep22 asked Why are these two events not independent? Sep21 comment Probability in flipping a coin source: math.bme.hu/~balazs/a3pr9f06.pdf Question/Answer #6 Sep21 comment Probability in flipping a coin I found another answer and added to the body of my question. What do you think of that? Sep21 revised Probability in flipping a coin added 695 characters in body Sep21 comment Probability in flipping a coin errr, no not really... do you agree that the answer is 1-p? Sep21 comment Probability in flipping a coin one solution manual says $1-p$, the other one says it's $\frac {15}{16}$...x_x