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Complement of an Event

The King, Que...

Question

The King, Queen and Jack of clubs are removed from a pack of $52$ cards and then the remaining cards are well shuffled. A card is selected from the remaining cards. Find the probability of getting a card of spade

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Solution

$\begin{matrix} 3 c a r d s a r e r e m o v e d r e m a o i n i n g c a r d s = 52 - 3 = 49 P r o b a b i l i t y o f g e t t i n g s p a d e = \frac{13}{49} b l a c k k i n g = \frac{1}{49} b e c a u s e c l u b k i n g r e m o v e d c l u b c a r d = 13 - 3 = 10 p r o b a b i l i t y o f c l u b = \frac{10}{49} \end{matrix}$

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