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?

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Answer

$\boxed{P(A \cup B) \approx 0.5385}$

Steps

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

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

Answer

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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?