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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 be a black 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 black cards in a deck = 26
P(E) = favourable outcomes for the event of drawing a black card = 26
Probability of drawing a black card = `(P(E))/(P(s)) = 26/52 = 1/2`
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