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Question
From a well-shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is a card with number between 2 and 9.
Solution
Total number of possible outcomes = 52
n(S) = 52
Number between 2 and 9 = {3, 4, 5, 6, 7, 8}
Event of drawing a card with number between 2 and 9 = E = {6H cards, 6D cards, 6S cards, 6C cards}
n(E) = 24
Probability of drawing a card with number between 2 and 9 = `(n(E))/(n(S)) = 24/52 = 6/13`
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Solution:
Suppose ‘S’ is sample space.
∴ n(S) = 52
Event A: Card drawn is a red card.
∴ Total red cards = `square` hearts + 13 diamonds
∴ n(A) = `square`
∴ p(A) = `square/("n"("s"))` ....formula
∴ p(A) = `26/52`
∴ p(A) = `square`
