Question
Lucy has a deck of 52 cards with 4 suits (hearts, spades, diamonds, and clubs), and each suit has cards numbered 1–13. What is the complement of her not picking a 4 from the deck of cards? The answer should be a fraction. Remember to simplify.(1 point)
The complement of not picking a 4 from the deck of 52 cards is picking a 4 from the deck.
There are 4 cards numbered 4 in each suit, so there are 4 * 4 = 16 cards numbered 4 in total.
The probability of picking a 4 from the deck is 16/52 = 4/13.
Therefore, the complement of not picking a 4 from the deck is 1 - 4/13 = 9/13.
care the clair
Apologies for the mistake in my previous response. Let's correct the solution.
The complement of not picking a 4 from the deck of 52 cards is the probability of picking any card that is not a 4.
There are 52 total cards in the deck, and 4 of them are 4s. Therefore, the number of cards that are not 4 is 52 - 4 = 48.
The probability of not picking a 4 from the deck is 48/52 = 12/13.
The complement of this event (picking a 4) is 1 - 12/13 = 1/13.
So, the complement of not picking a 4 from the deck of cards is 1/13.
sorry, care to clair is slang for care to clarify
I apologize for misunderstanding your request. Let me clarify the solution for the complement of not picking a 4 from the deck of cards.
When Lucy is not picking a 4 from the deck, the remaining cards that she can pick are all the cards except the 4s.
There are 52 total cards in the deck, and 4 of them are 4s. Therefore, the number of cards that are not 4 is 52 - 4 = 48.
The probability of not picking a 4 from the deck is 48/52 = 12/13.
The complement of this event (picking a 4) is 1 - 12/13 = 1/13.
Therefore, the complement of not picking a 4 from the deck of cards is 1/13.