Simple probablity

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Letters of the word ASSASSIN are arranged randomly and one is selected. Find the prob that in the selected word no two S are together.

[7]

16 Answers

62
Lokesh Verma ·

oh.. try this like this

arrange AAIN

then there are 5 gaps.. fill 4 of them with "S"

This will give the number of ways to get no two S's together..

Total ways is easy to find..

Is this solutin enuf?

33
Abhishek Priyam ·

:(

I know the method but can U give the answer.. I am getting wrong answer... answer Not matching frm the package :(

62
Lokesh Verma ·

12.5 = 60

8!/4!2! = 4.7.6.5

probab = 60/14.60

=1/14?

33
Abhishek Priyam ·

But the answer should be same na whether we take all S and A as different....... as it is in numerator and denomiantor...

62
Lokesh Verma ·

priyam i see ur point.. and you are right to point out that..

but that is not how selections always work...

basically now that you are saying this, you are right... i think!

there are 2 ways to select words..
1) From words that are premade!

2) From words that are made on the fly.

If the words made on the fly.. then i think ur method is correct....

Here I have a feeling that u are right!! (But I wud want to think more on this one!)

1
°ღ•๓яυΠ·

we can do it also like
prob(required)=1-prob(taht 2 s r 2gethr)

1
nithin.yes ·

1/35

33
Abhishek Priyam ·

Me also getting 1/35 but answer is that given by Nishant Bhaiya..

I think Nithin You have also taken S and A as different..

62
Lokesh Verma ·

Letters of the word ASSASSIN are arranged randomly and one is selected. Find the prob that in the selected word no two S are together.

See priyam.. my answer is correct...

If the question had been The letters of the word are rearranged and then the word thus formed....... the probability of no consecutive s in the word thus formed wud be given by your method....

Here, the question is that one is selected so the words have been madde... and then one is selected!!

Do u get the "subtle" difference?

33
Abhishek Priyam ·

That means if one selects a word he doesn't identifies a difference in AS*SASSIN and ASS*ASSIN ........ both words are same according to him...

62
Lokesh Verma ·

yup.. exactly..

because then we have a pool of words from which we pick and in that pool there is no difference between s and s*

33
Abhishek Priyam ·

Ok if there are 4 identical red balls and 3 identical white balls in a bag then 1 ball is picked the prob that it will be red =1/2 or 4/7 ?

62
Lokesh Verma ·

4/7

see u are getting a bit confused.. and it is very obvious...

62
Lokesh Verma ·

In the word problem...

the way this question is given, the words are random

If the arrangement of letters was random, your answer wud have been right...

33
Abhishek Priyam ·

:) so words are random...

But the question has

Letters of the word ASSASSIN are arranged randomly and one is selected. Find the prob that in the selected word no two S are together

62
Lokesh Verma ·

So the arrangement was done.. there were many such .. right? from these arangements (each one can be called a word)

and one is selected

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