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
To find the complement of not picking a 4 from the deck of cards, we first need to find the probability of not picking a 4.
There are 52 cards in the deck, and there are 4 4's in the deck. So, the probability of not picking a 4 is:
P(not picking a 4) = Number of cards that are not 4 / Total number of cards
P(not picking a 4) = 52 - 4 / 52
P(not picking a 4) = 48 / 52
P(not picking a 4) = 12 / 13
Now, the complement of not picking a 4 is the probability of picking a 4, which is:
P(picking a 4) = 1 - P(not picking a 4)
P(picking a 4) = 1 - 12/13
P(picking a 4) = 13/13 - 12/13
P(picking a 4) = 1/13
Therefore, the complement of not picking a 4 from the deck of cards is 1/13.