Q) In a pack of 52 playing cards one card is lost. From the remaining cards, a card is drawn at random. Find the probability that the drawn card is queen of heart, if the lost card is a black card.

Ans: We have 52 cards in a pack.

From the given pack of 52 cards, if 1 black card is lost, we are left with 51 cards.

Since there is only 1 queen of heart, hence favourable chances = 1

Total Number of chances = balance cards = 51

We know that the probability of drawing a card:

= \frac{favorable~chances}{total~chances}

= \frac{1}{51}

Therefore, probability of drawing queen of heart from the remaining cards is \frac{1}{51}.

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