Taken from hear: http://www.edge.org/3rd_culture/goldstein09/goldstein09_index.html
9. The Argument from Answered Prayers
1. Sometimes people pray to God for good fortune, and against enormous odds, their calls are answered. (For example, a parent prays for the life of her dying child, and the child recovers.)
2. The odds of the beneficial event happening are enormously slim (from 1).
3. The odds that the prayer would have been followed by recovery out of sheer chance are extremely small (from 2).
4. The prayer could only have been followed by the recovery if God listened to it and made it come true.
5. God exists.
This argument is similar to The Argument from Miracles below, except instead of the official miracles claimed by established religion, it refers to intimate and personal miracles.
FLAW 1: Premise 3 is indeed true. However, to use it to infer that a miracle has taken place (and an answered prayer is certainly a miracle) is to subvert it. There is nothing that is less probable than a miracle, since it constitutes a violation of a law of nature (see The Argument from Miracles, #11, below). Therefore, it is more reasonable to conclude that the correlation of the prayer and the recovery is a coincidence than that it is a miracle.
FLAW 2: The coincidence of a person praying for the unlikely to happen and its then happening is, of course, improbable. But the flaws in The Argument from Cosmic Coincidences and The Argument from Personal Coincidences apply here: Given a large enough sample of prayers (the number of times people call out to God to help them and those they love is tragically large), the improbable is bound to happen occasionally. And, given the existence of Confirmation Bias, we will notice these coincidences, yet fail to notice and count up the vastly larger number of unanswered prayers.
FLAW 3: There is an inconsistency in the moral reasoning behind this argument. It asks us to believe in a compassionate God who would be moved to pity by the desperate pleas of some among us — but not by the equally desperate pleas of others among us. Together with The Argument from A Wonderful Life, it appears to be supported by a few cherry-picked examples, but in fact is refuted by the much larger number of counterexamples it ignores: the prayers that go unanswered, the people who do not live wonderful lives. When the life is our own, or that of someone we love, we are especially lia