• Expectation of Geometric Distribution:
• Let $X$ denote the number of independent tosses required until the first head appears in tossing a fair coin.
• The probability of getting a head on any single toss is $p = 0.5$, and tails is $q = 1 - p = 0.5$.
• The random variable $X$ follows a Geometric distribution:

• The expected value (mean number of tosses) for a geometric distribution is:

• Conclusion: The expectation of the number of tosses required is 2 (Option 3).

Correct option: (3) 2