schorlet's web-2

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a letter is known to have come from either TATANAGAR or CALCUTTA on d envelope just 2 consecutive letters TA r visible d probability dat d letter has come from calcutta is?

its soln is given in TMH but i dont understand can ne1 give d soln plz

#Mathematics #Algebra

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7 Answers

9

Celestine preetham ·2009-04-20 10:01:28

use bayes thm

ans = 1/3

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1

jb6098 swathi ·2009-04-20 10:02:55

no celestine d ans given is 4/11

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Manas ·2009-04-20 10:03:58

it is a type of permutation and combination type of question. and then only u can apply Baye's theorem

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jb6098 swathi ·2009-04-20 10:05:37

can u plz give d soln bhaiyya

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Mirka ·2009-04-20 10:11:37

prob of letter being from cal. or tata. is 1/2

u can select 2 consecutive letters from calcutta in 7 ways

( CA or AL or LC or CU or UT or TT or TA )

nd frm TATANAGAR in 8 ways

out of this, TA from calcutta in 1 way
and from tatanagar in 2 ways

Now use Baye's theorem ....

1/2 * 1/7 / ( 1/2 * 1/7 + 1/2 * 2/8 )

= 4/ 11

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jb6098 swathi ·2009-04-20 10:14:32

tanx mirka it is apprecable

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Celestine preetham ·2009-04-21 02:23:22

thanks mirka dint realise the words had different lenghts

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