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Question
From a pack of 52 playing cards Jacks, queens, kings and aces of red colour are removed. From the remaining, a card is drawn at random. Find the probability that the card drawn is a picture card (Jacks, queens and kings are picture cards)
Solution
Total no. of cards = 52
All jacks, queens & kings, aces of red colour are removed.
Total no. of possible outcomes = 52 – 2 – 2 – 2 – 2 = 44 {remaining cards}
E ⟶ event of getting a picture card
No. of favourable outcomes = 6 {2 jacks, 2 kings & 2 queens of black colour}
Probability, P(E) = `"No.of favorable outcomes"/"Total no.of possible outcomes"`
P(E) = 6/44 = 3/22
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