Problem

Consider a standard deck of 52 cards, with four suits: Let event $A=$ card is an Ace Let event $B=$ card is from a red suit What is probability of getting a card being ace or red suit?

Solution

Step 1 :Find the probability of drawing an Ace: \(P(A) = \frac{4}{52}\)

Step 2 :Find the probability of drawing a red card: \(P(B) = \frac{26}{52}\)

Step 3 :Find the probability of drawing a red Ace: \(P(A \cap B) = \frac{2}{52}\)

Step 4 :Calculate the probability of drawing a card that is either an Ace or a red card: \(P(A \cup B) = P(A) + P(B) - P(A \cap B) = \frac{4}{52} + \frac{26}{52} - \frac{2}{52}\)

Step 5 :\(P(A \cup B) = \frac{28}{52}\)

Step 6 :\(\boxed{P(A \cup B) \approx 0.5385}\)

From Solvely APP
Source: https://solvelyapp.com/problems/8363/

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