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The probabilities that a satellite launching rocket will explode during lift- off or have its guidance system fail in flight are 0.0003 and 0.0004. respectively. Assuming independence find the probabilities that such a rocket will (a) not explode during lift-off; (b) explode during lift-off or have its guidance system fail in flight; (c) neither explode during lift-off nor have its guidance system fail in flight