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devinawilliam83
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sairajesh063
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ans given by sai rajesh is correct
after simplification this comes as 285/5278
This is simple logic question required calculation
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devinawilliam83
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sairajesh063
devinawilliam83
A bag contains 30 tickets, numbered from ‘1’ to ‘30’. Five tickets are drawn at random and arranged in ascending order. Find the probability that the third number is 20.


The answer to this is 285/5278.. Am not convinced with the solution.Any thoughts..?

ways of selecting 5 outta 30 =30C5
let the tickets be 20,a,b,c,d

arranging them in ascending order will look like : a,b,20,c,d

a,b has to lie within 1 to 19 = 19C2
c,d has to lie within 21 to 30 = 10C2

So,

(19C2*10C2)/30C5

Please check the answer...
How does the solution take into account that a<b and c<d.. a simple selection of 19C2 or 10C2 can have a selection of say a=19,b=18.. which is not in ascending order
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we are finding the probability that the 3rd num is 20,the two tickets before 20 is b/w 1-19 and the two tickets after 20 is b/w 21 -30.

So, what we are doing here is right.
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