A biased coin that lands heads with probability 1/3 is repeatedly flipped. Compute the expected number of flips until the first Head-Head (HH) string appears.

For integer answers, please input your answer in the first blank and put the integer 1 in the second blank.

For fraction answers, please input your numerator in the first blank and your denominator in the second blank. Answers should be expressed in simplest form as improper fractions if applicable.