Angelica has a deck of 52 cards with 4 suits (hearts, spades, diamonds, and clubs), and each suit has cards numbered 1–13. Calculate the chances of getting a 6, and Calculate the complement of not picking a 6. The answer should be a fraction. Remember to simplify.(1 point)
There is a total of 13 cards in one suit, and 4 suits in total, so there are a total of 13 x 4 = 52 cards in the deck.
There is only 1 card numbered 6 in each suit, so there are a total of 4 6s in the deck.
Therefore, the chances of getting a 6 are 4/52, which simplifies to 1/13.
The complement of not picking a 6 is the probability of picking any card that is not a 6. There are 52 total cards in the deck, and 4 of them are 6s, so there are 52 - 4 = 48 cards that are not 6.
Therefore, the complement of not picking a 6 is 48/52, which simplifies to 12/13.