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प्रश्न
A card is drawn from a well-shuffled pack of 52 cards. Find the probability that the card drawn is a red and a king.
उत्तर
Number of possible outcomes when card is drawn from pack of 52 cards = 52
n(S) = 2
E = event of drawing a red and a king = {KH, KD}
n(E) = 2
Probability of drawing a red and a king = `(n(E))/(n(S)) = 2/52 = 1/26`
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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`
