Question
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he king, queen and jack of clubs are removed from a deck of 52 card and the remaining cards
re shuffled. A card is drawn from the remaining cards find the probability of getting
(1) A card of heart (2) a face card
SECTION C

Ask by Schmidt Mills. in India
Jan 21,2025

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Tutor-Verified Answer

Answer

The probability of drawing a heart is 13⁄49, and the probability of drawing a face card is 9⁄49.

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The Deep Dive

With the king, queen, and jack of clubs removed, you’re left with 49 cards in total. There are 13 hearts in a full deck, and since none were removed, the probability of drawing a heart is 13/49. That’s roughly 26.5%! Quite a lucky draw if you ask me!
For the face cards, you’ve taken out 3 face cards (the king, queen, and jack of clubs), leaving you with 9 face cards in the remaining deck (the 3 hearts, 3 diamonds, and 3 spades). So, the probability of drawing a face card is 9/49—about 18.4%. So keep your fingers crossed for those face cards!

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