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 probability of not picking a 4 from the deck of cards can be calculated by finding the number of cards that are not 4 and dividing by the total number of cards in the deck.
There are 4 suits and each suit has cards numbered 1-13, so there are 13 cards in each suit. However, we are looking for the complement of not picking a 4, so we need to subtract the number of 4s from each suit to find the total number of "non-4" cards. There are 13-1 = 12 non-4 cards in each suit.
Since there are 4 suits, there are a total of 4 * 12 = 48 non-4 cards in the deck.
The total number of cards in the deck is 52.
Therefore, the probability of not picking a 4 is 48/52 = 12/13.
So, the complement of not picking a 4 from the deck of cards is 1 - 12/13 = 1/13.