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# Two dice are thrown.If it is known that the sum of numbers on the dice was less than 6,the probability of getting a sum 3,is

$\begin{array}{1 1}(A)\;\frac{1}{18}\quad(B)\;\frac{5}{18}\quad(C)\;\frac{1}{5}\quad(D)\;\frac{2}{5}\end{array}$

Toolbox:
• sample space for sum of number on the two dice is<6 is
• [(1,1)(1,2)(2,1)(2,2)(3,1)(1,3)(3,2)(2,3)(1,4)(4,1)]
p(getting a sum 3)
p[(2,1),(1,2)]
$\frac{2}{10}$=$\frac{1}{5}$
'c' option is correct