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प्रश्न
Nine cards (identical in all respects) are numbered 2 to 10. A card is selected from them at random. Find the probability that the card selected will be an even number.
उत्तर
There are 9 cards from which one card is drawn.
Total number of elementary events = n(S) = 9
From numbers 2 to 10, there are 5 even numbers i.e. 2, 4, 6, 8, 10
Favorable number of events = n(E) = 5
Probability of selecting a card with an even number = `(n(E))/(n(S)) = 5/9`
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संबंधित प्रश्न
From a well-shuffled deck of 52 playing-cards, one card is drawn. Find the probability that the card drawn will be a face card.
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A bag contains 3 red balls, 4 blue balls and 1 yellow ball, all the balls being identical in shape and size. If a ball is taken out of the bag without looking into it; find the probability that the ball is yellow.
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`