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Three independent lives, A, B and C, currently aged x, with force of mortality being muA_x, muB_x and muC_x respectively. Given that the first death

Three independent lives, A, B and C, currently aged x, with force of mortality being muA_x, muB_x and muC_x respectively. Given that the first death occurred at t1, find the probability that A died at t1.

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