Answer Not Matching!! :(

2 nos. are randomly selected frm 1,2,3,..........25

Wat is the prob. that Diff. b/w First and the Second no. selected is NOT less than 10

I m getting 2/5
Ans given : 1/5

24 Answers

21
tapanmast Vora ·

but 21 - 11 pair has already been counted once!!

wen v chkd 4 21 !!!

same is da case wid : 22,23,24 n 25

this is provided we cant differentiate in wich order the nos. r chosen

21
tapanmast Vora ·

Oh okie...

so sample space ≠25C2

hmmmmmm............ point yaar!!!

k k..... 600 YEAH!!!

1
Kalyan Pilla ·

Here there is no replacement, but the numbers are called first and second so they are picked seperately in 600 ways

@Amit

Yeah thats right

1
Optimus Prime ·

ohhh 25C1 then 24 numbers are remaining for selecting second number so 24C1

so total possibilities is 600
thanks kalyan

1
Kalyan Pilla ·

for the number 25

25-15>10
25-14>10
.
.
.
.
..
.
.
..
.
.
.
25-1>10

so for the number 25 there are 15 possibilities

for the number 24 there are 14 possibilities

.
.
.
..
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.
.
.
for the number 11 there is 1 possibilitiy

thus required outcomes is 15+14+........+1=120

Taken from Amits post........ No tym to type

And the total possible outcomes is 25C124C1=600

So the required probability is 120/600=1/5[7][7]

Isnt that the solution

21
tapanmast Vora ·

YAH!!!

k so 1/5 is surely wrong......

k k .... thnx!

62
Lokesh Verma ·

yes amit had it been without replacement, my answer would have bene

240/600

but i think the question has not specifiied..

anyways we have discussed this question for both cases...

1
Optimus Prime ·

but nishant sir has got probability 240/625 ≠1/5≠2/5

21
tapanmast Vora ·

In context to the EDITED post #3

Then it means
1) u remov a no.
2) Note its value
3) Replace it
4)Chus 2nd no.
5)note it value

then apply |x-y| >= 10

I thot the questn says sumthin else.....

1
Optimus Prime ·

for 21,22,23 etc we have taken the case before

21
tapanmast Vora ·

If u consider this : "for the number 11 there is 1 probabilitiy>???

isnt it 6 ways?? 1 or 21 or 22 or 23 or 24 or 25"

Each case will hav to be counted twice............

and wat abt the Denomikator then [7] [7] CONFUSED!!1

1
Optimus Prime ·

ya sir for 11 the single probability is 11-1=10 which is not less than 10 else all possibilities like 11-2,11-3,11-4 are all less than 10

1
Optimus Prime ·

ya dude even i got 2/5 , i think they have given wrong answer

62
Lokesh Verma ·

There is a big mistake in the above one.. let me fix that..

62
Lokesh Verma ·

for the number 11 there is 1 probabilitiy>???

isnt it 6 ways?? 1 or 21 or 22 or 23 or 24 or 25

one more issue.. i was selecting with replacement!!

1
Optimus Prime ·

dont know what abt u?

21
tapanmast Vora ·

Is sir's answer matching wid ours?

1
Optimus Prime ·

@ that is best method when the numbers are samll, and it is fast too[3]

21
tapanmast Vora ·

I used precisely the same methd as AMIT did!!!

21
tapanmast Vora ·

Oh .......

62
Lokesh Verma ·

Wat is the prob. that Diff. b/w First and the Second no. selected is NOT less than 10

no it is only given difference

difference is always modulus of A-B

1
Optimus Prime ·

fo the number 25

25-15>10
25-14>10
.
.
.
.
..
.
.
..
.
.
.
25-1>10

so for the number 25 there are 15 possibilities

for the number 24 there are 14 probabilities

.
.
.
..
.
.
.
.
for the number 11 there is 1 probabilitiy

thus poosiblie outcomes is 15+14+........+1=120

and total number of ways of selecting two numbers is 25C2=300

p=120/300=2/5

21
tapanmast Vora ·

Sir Y did u take MOD ?? its given 1st - 2nd >= 10

62
Lokesh Verma ·

x, y

|x-y|>10

One big mistake I edited that..

1/25(15/25)+1/25(14/25)..........(1/25)(6/25)+(10 times)
1/25(6/25)+1/25(6/25)..........(1/25)(6/25)+(5 times)
1/25(15/25)+1/25(14/25)..........(1/25)(6/25)+(10 times)

= 210+30 = 240 ways

total no of ways is 625

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