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(D) Let $A$ be the event that the card is red and $B$ be the event that the card is a queen.Total number of cards $= 52$.Number of red cards $n(A) = 2

Vedclass · Accepted Answer

$7/13$

Vedclass · Answer

(D) Let $A$ be the event that the card is red and $B$ be the event that the card is a queen.Total number of cards $= 52$.Number of red cards $n(A) = 26$.Number of queens $n(B) = 4$.Number of red queens $n(A \cap B) = 2$.Using the addition theorem of probability: $P(A \cup B) = P(A) + P(B) - P(A \cap B)$.$P(A \cup B) = \frac{26}{52} + \frac{4}{52} - \frac{2}{52} = \frac{28}{52}$.Simplifying the fraction,we get $\frac{28}{52} = \frac{7}{13}$.

$A$ card is drawn at random from a well-shuffled deck of $52$ cards. What is the probability that the card is red or a queen?

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