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.
I apologize for the mistake in my previous response. Let's correct it:
To find the complement of not picking a 4 from the deck of cards, we need to calculate the probability of picking a 4 and then subtract that from 1.
There are 4 cards numbered 4 in the deck.
The probability of picking a 4 is:
P(picking a 4) = (number of 4s) / (total number of cards)
P(picking a 4) = 4 / 52
P(picking a 4) = 1 / 13
Now, the complement of not picking a 4 is:
P(complement) = 1 - P(picking a 4)
P(complement) = 1 - 1/13
P(complement) = 13/13 - 1/13
P(complement) = 12/13
Therefore, the complement of not picking a 4 from the deck of cards is 12/13.
There are a total of 52 cards in Lucy's deck.
The probability of not picking a 4 from the deck 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
The complement of not picking a 4 is picking a 4, so the complement 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.