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All kings and queens are removed from a pack of 52 cards. The remaining cards are well-shuffled and then a card is randomly drawn from it. Find the probability that this card is red and a queen.

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Question

All kings and queens are removed from a pack of 52 cards. The remaining cards are well-shuffled and then a card is randomly drawn from it. Find the probability that this card is red and a queen.

Sum
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Solution

Given: Total cards = 52 Cards removed = 4 Kings + 4 Queens = 8 cards

\[ \text{Remaining cards, } n(S) = 52 - 8 = 44 \]

Red and a queen: No queens remain in the deck.

Number of favourable cards = 0

\[ P(\text{red and a queen}) = \dfrac{0}{44} = 0 \]

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Chapter 16: Probability - EXERCISE 16.1 [Page 16.22]

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R.D. Sharma Mathematics [English] Class 10
Chapter 16 Probability
EXERCISE 16.1 | Q 32. (iv) | Page 16.22
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