Question

"A tennis match of best of 5 sets is played by two players \\( A \\) and \\( B \\). The probability that first setis won\nby \\( A \\) is \\( \\frac { 1 } { 2 } \\) and if he looses the first then probability of his winning the next is \\( \\frac { 1 } { 4 } \\) otherwise it is the\nsame. Then the probability that A wins the match is\n\\( \\begin{array} { l l l l } { \\text { (A) } \\frac { 5 } { 16 } } & { \\text { (B) } \\frac { 1 } { 16 } } & { \\text { (C) } \\frac { 1 } { 4 } } & { \\text { (D) } \\frac { 5 } { 8 } } \\end{array} \\)"

Answer 1