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Martin will draw 3 cards from a standard 52-card deck without replacement 5 different times. For each 3-card draw, he will record the number of red cards and the number of black cards. What is a trial of this experiment?

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Final answer:

A trial in Martin's experiment involves drawing 3 cards from a 52-card deck without replacement, recording the color of the cards, and this is repeated 5 times.

Step-by-step explanation:

A trial in this experiment would consist of Martin drawing 3 cards from a standard 52-card deck and recording the number of red cards and black cards he gets from that particular draw. Since the cards are drawn without replacement, the probability of each draw can be affected by the previous draws. This process would then be repeated 5 different times, with each set of 3-card draws being considered a separate trial.

In a standard deck, clubs and spades are black cards, while diamonds and hearts are red cards, with each suit consisting of 13 cards that include the numbers 2 through 10, and face cards like the Ace (A), Jack (J), Queen (Q), and King (K).

Sampling without replacement means that once a card is drawn, it is not returned to the deck, thereby changing the composition of the deck and the probabilities of subsequent draws. This is opposed to sampling with replacement, where the drawn card is returned to the deck, keeping the probabilities the same.

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