Both cards are the same kind with replacement. What is the probability of the said event?
To determine the probability of an event, we need to know the total number of equally likely outcomes and the number of favorable outcomes.
In this case, if we have two cards of the same kind and we draw one card and replace it before drawing the second card, we have a total of 52 cards in the deck and each card is equally likely to be drawn. Therefore, the total number of equally likely outcomes is 52 * 52 = 2,704.
Since both cards are the same kind, there is only one favorable outcome where we draw two cards of the same kind (e.g., two Ace of Spades, two Queen of Hearts, etc.).
So the probability of drawing two cards of the same kind with replacement is 1/2,704, or approximately 0.000369%.