Let there be three independent events E₁, E₂ and E₃. The probability that only E₁ occurs is α, only E₂ occurs is β and only E₃ occurs is γ. Let 'p' denote the probability of none of events occurs that satisfies the equations (α - 2β)p = αβ and (β - 3γ)p = 2βγ. All the given probabilities are assumed to lie in the interval (0, 1). Then, (Probability of occurrence of E₁) / (Probability of occurrence of E₃) is equal to......
Let there be three independent events E₁, E₂ and E₃. The probability that only E₁ occurs is α, only E₂ occurs is β and only E₃ occurs is γ. Let 'p' denote the probability of none of events occurs that satisfies the equations (α - 2β)p = αβ and (β - 3γ)p = 2βγ. All the given probabilities are assumed to lie in the interval (0, 1). Then, (Probability of occurrence of E₁) / (Probability of occurrence of E₃) is equal to......
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