From a pack of 52 cards, two cards are drawn together at random. What is the probability of one is a spade and one is a heart? Choose the correct choice from the following options
A) 102 / 102  B) 5 / 102  C) 1 / 102  D) 8 / 102  E) 13 / 102

Rationale: solution let s be the sample space . then , n ( s ) = 52 c 2 = ( 52 × 51 ) / ( 2 × 1 ) = 1326 . let e = event of getting 1 spade and 1 heart . n ( e ) = number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = ( 13 c 1 * 13 c 1 ) = 169 . p ( e ) = n ( e ) / n ( s ) = 169 / 1326 = 13 / 102 . answer e
Answer: E