I read that the probability of two events provided they are independent is obtained by the following formula:
$Probability _ {Independent~ Events} = Probability_{1st Event} \times Probability_{2nd Event} \times ...$
Now it states that the probability of getting a Tails and Head (T-H) or getting a Heads and Tails (H-T) when a coin is flipped consecutively is given by:
$P(H-T) + P(T-H) = (\frac{1}{2}\times \frac{1}{2}) + (\frac{1}{2}\times \frac{1}{2}) = \frac{1}{2}$
Now my question is why isn't it
$P(H-T) \times P(T-H) $ instead of $P(H-T) + P(T-H)$ since after all the two events are independent of each other. I would appreciate it if someone could clear this up.