# A card is drawn from a shuffled deck of 52 cards, and not replaced. Then a second card is drawn. What is the probability that the second card is a king?

To give a more explained solution of this problem, there are 2 cases you have to consider:

Case 1: The first card drawn is a king Case 2: The first card drawn is not a king

The reason there's a difference is because in Case 1 the taking of a king on the first card means there is a smaller chance of getting a king on the second card (because the originally taken card is not replaced).

To get the probability of the 2nd card being a king, we can find each individual probability for Cases 1 and 2 and add them together since each of those possibilities are disjoint; in other words, it's not possible that the first card drawn is a king and not a king at the same time.

Case 1

Case 2

Answer

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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