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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 less than 8.
Solution
Total number of possible outcomes = 52
n(S) = 52
Number less than 8 = {2, 3, 4, 5, 6, 7}
Event of drawing a card with number less than 8 = E = {6H cards, 6D cards, 6S cards, 6C cards}
n(E) = 24
Probability of drawing a card with number less than 8 = `(n(E))/(n(S)) = 24/52 = 6/13`
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If n(A) = 1 and n(S) = 13 then find P(A).
A card is drawn from a well-shuffled pack of 52 playing cards. Find the probability of the event, the card drawn is a red card.
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`
