You are dealt one card from a 52-card deck. Find the probability that you are dealt a five or a black card
The probability is (Type an integer or a fraction. Simplify your answer.)
Answer
Final Answer: The probability that you are dealt a five or a black card is \(\boxed{\frac{28}{52}}\) or approximately \(\boxed{0.538}\).
Step 1 ：We are given a standard 52-card deck and we are to find the probability of drawing a five or a black card.
Step 2 ：There are 4 fives in the deck and 26 black cards. However, two of the fives are black, so they are counted twice. To avoid double-counting, we subtract 2 from the total.
Step 3 ：The formula for probability is the number of ways an event can occur divided by the total number of outcomes. In this case, the event is drawing a five or a black card and the total number of outcomes is the total number of cards in the deck, which is 52.
Step 4 ：Substituting the values into the formula, we get \(\frac{4 + 26 - 2}{52} = \frac{28}{52}\).
Step 5 ：Simplifying the fraction, we get approximately 0.538.
Step 6 ：Final Answer: The probability that you are dealt a five or a black card is \(\boxed{\frac{28}{52}}\) or approximately \(\boxed{0.538}\).
