Latest Gate Aptitude Question SOLUTION: A deck of 5 cards (each carrying a distinct number from 1 to 5) is shuffled thoroughly. Two cards are then removed one at a time from the deck. What is the probability that the two

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(#M40021716) GATE question MATHS Keep an EYE

A deck of 5 cards (each carrying a distinct number from 1 to 5) is shuffled thoroughly. Two cards are then removed one at a time from the deck. What is the probability that the two cards are selected with the number on the first card being one higher than the number on the second card?

Asked In Gate MAN (11 years ago)

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KALIDASS  (11 years ago)

selection of two cards=5c2=10
The possible outcomes =5c2=10
probability=1

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sneha  (11 years ago)

favorable outcomes=10
total outcomes=25
ans:- 10/25 = 2/5

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Uday Singh  (10 years ago)

(2,1)(3,2)(4,3)(5,4) are the total favorable outcomes total no. of outcomes will be (1,1)(1,2)....(2,3)....(5,5) total 25 cases.

total probability = 4/25 (ans)

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gaurav   (8 years ago)

You have to select 2 cards from 5. Since the order in which they are drawn matters, there are 5P2 = 5!/3! = 20 elementary events from which there are 4 favorable number of cases: 5 before 4, 4 before 3, 3 before 2 and 2 before 1. Hence, probability = 4/20 = 1/5 Source: http://clweb.csa.iisc.ernet.in/rahulsharma/gate2011key.html

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