A person decides to toss a fair coin repeatedly until he gets a head. He will make at most 3 tosses. Let the random variable Y denote the number of heads. The value of var {Y}, where var{.} denotes the variance, equals.

1
\(\frac{7}{8}\)
2
\(\frac{{49}}{{64}}\)
3
\(\frac{7}{{64}}\)
4
\(\frac{{105}}{{64}}\)

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