NIMCET 2008 Question Paper with solutions

Question : 21 of 120

Marks: +1, -0

A letter is taken at random from the letters of the word 'STATISTICS' and another letter is taken at random from the letters of the word 'ASSISTANT'. The probability that they are the same letter is

${1}/{45}$
${13}/{90}$
${19}/{90}$
${5}/{8}$

Validate

Solution:

The same letter can be either

{S}, {T}, {I}

{A}

Probability of required will be

P(S)+P(T)+P(I)+P(A)

= {3}/{10} × {3}/{9}+ {3}/{10} × {2}/{9}+ {2}/{10} × {1}/{9}+ {1}/{10} × {2}/{9}= {19}/{90}

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