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Question

All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well - shuffled and then a card is drawn from it. Find the probability that the drawn card is (i) a black face card, (ii) a red card.

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Solution

Total no. of Queens, kings and aces in a deck of 52 cards = 12

Now Total Outcomes = 52 - 12 = 40

i) Probability of a Black Face Card = 2/40 = 1/20 ( Since 2 Jacks of Black are still remaining)

ii) Probability of a Red Card = 20/40 = 1/2 [ Since overall six cards of red are removed i.e. Queen, King and Ace]


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