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
The probability of not picking a 4 from a deck of cards can be calculated by finding the number of cards that are not 4s and dividing it by the total number of cards in the deck.
There are 4 suits in a deck of cards, each with 13 cards. So, in total, there are 4 * 13 = 52 cards.
There are 3 other cards in each suit that are not 4s. So, the total number of cards that are not 4s is 3 * 4 = 12.
Therefore, the probability of not picking a 4 from the deck of cards is 12/52.
To find the complement, we subtract this probability from 1:
1 - 12/52 = 40/52 = 10/13
So, the complement of Lucy not picking a 4 from the deck of cards is 10/13.