Which of the following options is correct?

Let $H$ denote the proposition "The result of the toss is head" and $T$ denote the proposition "The person is telling the truth".

The person makes the statement:

We analyze both cases:

1. If the person is Type 1 (truth-teller): Here, $T$ is True, so the statement $S$ must be True.

   $$S = (H \iff \text{True}) \equiv H = \text{True}$$

   Thus, the result is Head.

2. If the person is Type 2 (liar): Here, $T$ is False, so the statement $S$ must be False. $$S = (H \iff $\text{False}$) \equiv

eg H$$Since$S$is False,$ eg H$is False$\implies H$ is True. Thus, the result is Head.

In either case, the result of the coin toss is definitely head. Therefore, (A) is correct.