In a game, a fair coin is tossed 6 times. Each time the coin comes up tails, A will pay Rs. 15 but if each time heads come up, A will pay nothing. Determine the probability that A will win Rs. 45 by playing the game?

• A. \(\frac{5}{16}\)
• B. \(\frac{4}{31}\)
• C. \(\frac{3}{7}\)
• D. \(\frac{12}{65}\)