A card is drawn at random from a well-shuffle | vedclass

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(D) Total number of cards $n(S) = 52$.Let event $A$ be drawing a black card and event $B$ be drawing a face card.Number of black cards $n(A) = 26$.Num

Vedclass · Accepted Answer

$\frac{8}{13}$

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(D) Total number of cards $n(S) = 52$.Let event $A$ be drawing a black card and event $B$ be drawing a face card.Number of black cards $n(A) = 26$.Number of face cards $n(B) = 12$.Number of black face cards $n(A \cap B) = 6$ (since there are $3$ black face cards in each of the two black suits).The probability of drawing a black card or a face card is given by $P(A \cup B) = P(A) + P(B) - P(A \cap B)$.$P(A \cup B) = \frac{26}{52} + \frac{12}{52} - \frac{6}{52} = \frac{32}{52} = \frac{8}{13}$.

$A$ card is drawn at random from a well-shuffled pack of $52$ cards. The probability that it is a black card or a face card is

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