Problem: from a pack of 52 cards , two cards are drawn together at random . what is the probability that the one is heart and other two is diamond ?
Rationale: "solution let s be the sample space . then , n ( s ) = 52 c 3 = 22100 let e = event of getting 1 face card . n ( e ) = number of ways of choosing 1 face card out of 26 = 13 c 1 * 13 c 2 = 13 * 72 = 936 p ( e ) = n ( e ) / n ( s ) = 936 / 22100 = 234 / 5525 = 234 / 5525 . answer d"
annotated_formula: divide(multiply(divide(52, const_4), divide(52, const_4)), choose(52, const_2))