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Question

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a card is drawn at a random from a well - shuffled deck of playing cards. the probability that the card drawn is an ace or a red card is

Explanation:

Step1: Calculate number of aces, red cards and red - aces

There are 4 aces, 26 red cards and 2 red - aces in a deck of 52 cards.

Step2: Use the formula for $P(A\cup B)$

$P(A\cup B)=P(A)+P(B)-P(A\cap B)=\frac{4 + 26- 2}{52}=\frac{28}{52}=\frac{7}{13}$

Answer:

$\frac{7}{13}$