Question

A deck of cards is shuffled. what is the chance that the top card is the king of spades and the bottom card

Answer 1

The probability of getting the king of spades as the top card and the bottom card of a shuffled deck depends on whether the cards are picked with or without replacement.

Step-by-step explanation:

The probability of getting the king of spades as the top card and the bottom card of a shuffled deck depends on whether the cards are picked with or without replacement. If the cards are picked without replacement, the probability will be different than if they are picked with replacement.

If the cards are picked without replacement, the probability of getting the king of spades as the top card is 1/52. This is because there is only one king of spades in a deck of 52 cards. After the king of spades is picked as the top card, there are 51 cards left in the deck. The probability of getting the king of spades as the bottom card is also 1/51 because there is only one king of spades left in the deck.

If the cards are picked with replacement, the probability of getting the king of spades as the top card is still 1/52, but the probability of getting the king of spades as the bottom card is also 1/52. This is because each card is put back into the deck and reshuffled before the next card is picked, so the probabilities for each card remain the same.

Answer 2

After shuffling a deck of cards in order to know the probability of the king of spades being the top card, you have to first know how many cards are in the deck. If the card is a full deck with no jokers, then the probability is 1/52. This is also the probability that the bottom card is the King of spades.