Final answer:
The probability that your hand contains no diamonds is calculated by considering the number of ways to pick 13 cards from the 39 non-diamond cards in a standard deck of 52 cards. The probability is the product of the individual probabilities of selecting each card one after another without replacement, which involves a decreasing number of available cards and desired outcomes each time. The exact numerical probability would require calculation using combinatorics.
Step-by-step explanation:
To answer the question what is the probability that your hand contains no diamonds, we first need to understand the structure of a deck of cards and what it means to have a hand without any diamonds in a game like Bridge. A standard deck of cards consists of 52 cards, which are evenly divided into four suits: spades, hearts, clubs, and diamonds, with 13 cards in each suit.
When dealing a bridge hand, you receive 13 cards out of the total 52. If we want a hand without any diamonds, we must choose all 13 cards from the remaining 39 cards (the total number of cards minus the 13 diamond cards).
The probability of choosing one non-diamond card is 39/52. For the subsequent cards, the number of favorable outcomes decreases by 1 each time, and the total number of possible cards decreases by 1 as well. Therefore, the probability of getting a hand of 13 non-diamond cards without replacement can be calculated by multiplying the probabilities for each card:
Probability = (39/52) × (38/51) × (37/50) × ... × (27/40).
It's worth noting that the specific numerical value for this probability is not given in the provided reference info. To arrive at an answer, this product would need to be calculated using the principles of combinatorics.
Regarding the questions about whether or not the given sets of cards could indicate sampling with or without replacement, the answer for the set containing two Queen of Spades would be without replacement, because in a standard deck there is only one Queen of Spades. For the set with distinct cards, nothing can be definitively concluded regarding the method of sampling.