Answer
Probability of getting same outcomes each time = $\frac{1}{2}$
Work Step by Step
When a fair coin is tossed two times in succession total outcomes = (HH, HT, TH, TT) = 4
Favorable outcomes = 2 (HH, TT) (same outcomes each time)
Probability of getting same outcomes each time = $\frac{Favorable outcomes}{Total outcomes}$
= $\frac{2}{4}$
= $\frac{1}{2}$
