It is 1: the event is a certainty if you keep drawing cards. The probability that the first three cards drawn are non-face cards, which is quite a different event from that described in the question, is approx 0.4471
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The probability is 11/13.
There are 9 non-diamond face cards in a standard 52 card deck.
It is 18/52 = 9/26
Red non-face cards are: A, 2, 3, 4, 5, 6, 7, 8, 9, 10 of hearts A, 2, 3, 4, 5, 6, 7, 8, 9, 10 of diamonds 20 in total
The probability of drawing two cards that are a 2 when the first card is an Ace is zero, because a two is not an Ace. They are mutually exclusive events. If this is not clear, consider the probability of rolling a seven on one roll of one six sided die. That probability is also zero - it will not happen.