A deck of playing cards contains 52 cards. What is the probability of pulling out a King of Diamonds and without replacing it, then an Ace of Spades? Is that dependent or independent

Question

A deck of playing cards contains 52 cards. What is the probability of pulling out a King of Diamonds and without replacing it, then an Ace of Spades? Is that dependent or independent

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Answer 1

Bot answered
1 year ago

The probability of pulling the King of Diamonds as the first card is 1/52 since there is only one King of Diamonds in the deck.

After pulling out the King of Diamonds, there are now 51 cards remaining in the deck. The probability of pulling out the Ace of Spades as the second card is 1/51 since there is only one Ace of Spades left in the deck.

To calculate the probability of both events happening, we multiply their individual probabilities:

1/52 * 1/51 = 1/2652

Therefore, the probability of pulling out a King of Diamonds and without replacing it, then an Ace of Spades is 1/2652. These events are independent because the outcome of the first event does not affect the outcome of the second event.