You pick a card at random, put it back, and then pick another card at random.What is the probability of picking a 3 and then picking a 3?

You pick a card at random, put it back, and then pick another card at random.What is the probability of picking a 3 and then picking a 3?
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Assuming that you are using a full deck of playing cards, excluding Jokers, there would be four 3s in a deck of fifty-two total cards, making your chances of drawing a 3 the first time 1:13. However, to draw two 3s in a row in a true random scenario, we start with the condition that you have already drawn your first 3 (the 1:13 chance). Going from here, we would then have another 1:13 chance of drawing a 3, so we simply multiply the two ratios to arrive at a probably of 1:169.
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