Answer:
Explanation:
To calculate the odds against selecting a king and a diamond from a standard deck of 52 cards, first, let's find the number of cards that are kings of diamonds and then subtract that from the total number of cards.
In a standard deck, there are 4 kings (one in each suit: hearts, diamonds, clubs, and spades), and there are 13 diamonds.
So, there is only 1 king of diamonds in the deck.
Now, we can calculate the odds against selecting a king and a diamond, which is the number of cards that are NOT a king of diamonds divided by the total number of cards:
Number of cards that are NOT a king of diamonds = 52 (total cards) - 1 (king of diamonds) = 51
Odds against = (Number of cards that are NOT a king of diamonds) / (Total number of cards) = 51 / 52
To simplify this fraction, you can express it as a ratio of whole numbers:
Odds against = 51:52
So, the odds against selecting a king and a diamond are 51:52.