Let `m in N` and suppose three numbers are chosen at random from the numbers 1,2,3,..,m.
Statement-1 : If m=2n fro some `n in N`, then the chosen numbers are in A. P. with probability `(3)/(2(2n-1))`.
Statement-2 : If m=2n+1, then the chosen numbers are in A.P. with probability `(3n)/(4n^(2)-1)`

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1.
B. Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.
C. Statement-1 is True, Statement-2 is False.
D. Statement-1 is False, Statement-2 is True.

Answer

B