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Question
From a well-shuffled deck of 52 playing-cards, one card is drawn. Find the probability that the card drawn will not be a red card.
Solution
Total number of cards = 52
Total number of outcomes = P(s) = 52
There are 13 cards of each type. The cards of heart and diamond are red in colour. Spade and diamond are black. So, there are 26 red cards and 26 black cards.
Number of red cards in a deck = 26
Therefore, number of non-red cards = 52 – 26 = 26
P(E) = favourable outcomes for the event of not drawing a red card = 26
Probability of not drawing a red card = `(P(E))/(P(s)) = 26/52 = 1/2`
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