A card is drawn from a pack of 52 cards. Find | vedclass

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(C) Total number of cards = $52$. Let $A$ be the event of drawing a queen and $B$ be the event of drawing a heart. Number of queens $n(A) = 4$. Number

Vedclass · Accepted Answer

$\frac{4}{13}$

Vedclass · Answer

(C) Total number of cards = $52$. Let $A$ be the event of drawing a queen and $B$ be the event of drawing a heart. Number of queens $n(A) = 4$. Number of hearts $n(B) = 13$. Number of cards that are both a queen and a heart $n(A \cap B) = 1$. Using the addition theorem of probability: $P(A \cup B) = P(A) + P(B) - P(A \cap B)$ $P(A \cup B) = \frac{4}{52} + \frac{13}{52} - \frac{1}{52} = \frac{16}{52} = \frac{4}{13}$.

$A$ card is drawn from a pack of $52$ cards. Find the probability that the card will be a queen or a heart.

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