Given a deck of cards if you draw one card and then replace

Given a deck of cards, if you draw one card and then replace the card and then draw a second time from the deck, what is the probability that you will draw two kings.

If you do not replace the card and drawn once and then without replacing draw a second card, what is the probability that you will draw 2 kings?

Solution

WITH REPLACEMENT,
Deck of 52 cards will have 4 KINGS
P( Drawning 2 King cards) = 4/52 * 4/52 = 0.005917

WITHOUT REPLACEMENT
P( Drawning 2 King cards) = 4/52 * 3/51 = 0.00452

Given a deck of cards, if you draw one card and then replace the card and then draw a second time from the deck, what is the probability that you will draw two

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