Final answer:
The card game in question is Baccarat. To find the probability of being dealt a bridge hand without hearts, we calculate the combinations of choosing 13 cards from the 39 non-heart cards and divide by the total number of possible hands.
Step-by-step explanation:
The game in question that relates to Chemin de Fer and Punto Bunco and also relies on the number 9 is A) Baccarat. The probability question pertains to a deck of cards, specifically a bridge hand which consists of 13 cards. If we want to be dealt a hand that does not contain a heart, we can calculate the probability by considering a deck which has 39 cards left after excluding the 13 hearts.
To calculate the probability, we must determine all the ways we can select 13 cards from the 39 non-heart cards. This can be done using the combination formula C(n, k) = n! / (k!(n-k)!), where n is the total number of items, and k is the number of items to choose. Thus, the number of ways to select a hand without hearts is C(39, 13).
The total number of possible hands is found by using the same formula for the entire deck, giving us C(52, 13). The probability will be the ratio of the two combinations: Probability = C(39, 13) / C(52, 13). The exact calculation of these combinations will give the desired probability of being dealt a hand with no hearts