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 complement of not picking a 6. The answer should be a fraction. Remember to simplify. (1 point)
First, we need to calculate the probability of picking a 6.
There are 4 suits in a deck of 52 cards, so there are 4 cards with a 6 (6 of hearts, 6 of spades, 6 of diamonds, 6 of clubs).
So, the probability of picking a 6 is 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 6s.
Therefore, the probability of not picking a 6 is 48/52, which simplifies to 12/13.
So, the complement of not picking a 6 is 12/13.