Just think, God could have foreseen this tragedy and miraculously averted the iceberg hours before the Titanic came into its path. If he had done this no one would be the wiser! He could have remained hidden if that's his goal. For believers to say God does this from time to time then his so-called "interventions" look indistinguishable from chance. In other words, there is no evidence that he intervenes at all. So having faith that God intervenes even once is exceedingly improbable.