A player is randomly dealt a sequence of 13 cards from a deck of 52-cards. All sequences of 13 cards are equally likely. In an equivalent model, the cards are chosen and dealt one at a time. When choosing a card, the dealer is equally likely to pick any of the cards that remain in the deck. What is the probability the 13th card dealt is a King?

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Answer:

Answer is 1/13

Step-by-step explanation:

Here we are not intimated about the first (01) twelve (12) cards that are shown, the probability that the thirteenth (13) card dealt is a King, if this is the same as the probability that the (01) first card shown, or in fact any particular card dealt is a King, then it equals:

=4/52

=1/13 ANS

The probability that the 13th card dealt is a king is 1/13.

Number of cards in the deck = 52

Number of  king cards = 4

What is probability?

Probability is to quantify the possibilities or chances.

Probability = [tex]\frac{FavourableOutcomes}{TotalOutcomes}[/tex]

The probability that the 13th card dealt is a king will be equivalent to the probability of choosing a king from a deck of 52 cards.

Here, favorable outcomes = 4

Total outcomes = 52

So, the probability that the 13th card dealt is a king  = 4/52 =1/13

Therefore, the probability that the 13th card dealt is a king is 1/13.

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