A question of probability
Of the three independent events E1, E2, and E3, the probability that only E1 occurs is
a
, only E2 occurs is
b
and only E3 occurs is
c
. Let the probability
p
that none of events E1, E2 or E3 occurs satisfy the equations
(a - 2b) p = ab and (b - 3c) p = 2bc
. All the given probabilities are assumed to lie in the interval (0, 1).
Then,
Probability of occurrence of E1 )/(Probability of occurrence of E3) = ?
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