Let B_i\left ( i=1,2,3 \right ) be three independent events in a simple space. The probability that only B1 occur is \alpha , only B2 occur is \beta, and only B3 occurs is \gamma. Let p be the probability that none of the events Bi occurs and these 4 probabilities satisfy the equations \left ( \alpha -2\beta \right )p=\alpha \beta \text{ and } \; \left ( \beta -3\gamma \right )p=2\beta \gamma(All the probabilities are assumed to lie in the interval (0,1)). Then \frac{P(B_1)}{P(B_3)} is equal to_____
Option: 1 2
Option: 2 3
Option: 3 5
Option: 4 6

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