Rooms in a hotel are numbered from $1$ to $19$. Rooms are allocated at random as guests arrive. The first guest to arrive is given a room which is a prime number. The probability that the second guest to arrive is given a room which is a prime number is
- A$\frac{8}{19} \times \frac{7}{18}$
- B$\frac{8}{19}$
- C$\frac{8}{19} \times \frac{7}{19}$
- D$\frac{7}{18}$
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