Two persons A and B draw one card each alternately from a pack of cards and after each draw the pack is shuffled. If A starts the game and the game continues till one of them gets a spade card, what is the probability that B will win?

1
\(\frac{5}{9}\)
2
\(\frac{1}{7}\)
3
\(\frac{2}{9}\)
4
\(\frac{3}{7}\)

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