Question

(Theoretical Probability MC)

A standard deck of cards has 13 cards that are clubs and 13 cards that are hearts. A card is chosen from a standard deck of cards. It is then replaced, and a second card is chosen from the deck.

Answer 1

The probability of being dealt a hand that does not contain a heart from a standard deck of cards can be calculated using the formula (39/52) * (38/51) * (37/50) * ... * (27/40).

Step-by-step explanation:

The subject of this question is Mathematics, and it is a High School level question.

The question involves selecting cards from a standard deck of 52 cards.

The probability of being dealt a hand that does not contain a heart is calculated by finding the probability of selecting cards that are not hearts for all 13 cards in the hand. Since the cards are selected without replacement, the probability for each card decreases as cards are drawn, resulting in a probability of (39/52) * (38/51) * (37/50) * ... * (27/40).