Final answer:
Julia has 28 different ways to choose a king or a black card from a standard 52-card deck, by considering all black cards and kings and then removing the double-counted black kings.
Step-by-step explanation:
To determine how many ways Julia can choose a king or a black card from a standard 52-card deck, we need to apply the principle of inclusion-exclusion. In a deck, there are four kings and 26 black cards (13 clubs and 13 spades).
First, count the number of black cards: 26 (13 clubs + 13 spades).
Next, count the number of kings: 4 (one king per suit).
Since we counted the black kings twice (one in the kings and one in the black cards), we need to subtract the two black kings:
Number of black cards: 26
Number of kings: 4
Number of black kings: 2 (already counted within both categories)
Total number of ways: 26 (black) + 4 (kings) - 2 (black kings) = 28 ways.
Therefore, Julia has 28 ways to choose a king or a black card from a standard 52-card deck.