Into a bag there are 20 honey and 5 cherry candies. If a boy pick only two candies simultaneous and randomly, what is the probability that he picks one candy of each flavor?  Choose the correct choice from the following answers:
A) 2 / 25
B) 1 / 50
C) 1 / 12
D) 1 / 6
E) 1 / 3

Rationale: we are told that we have 25 candies , 20 honey and 5 cherry candies . the candies are picked simultaneous and randomly , c 1 and c 2 , in different flavors . there are two acceptable outcomes : 1 ) c 1 is honey and c 2 is cherry ; 2 ) c 1 is cherry and c 2 is honey . let ' s go : 1 ) c 1 = ( 20 / 25 ) ( 5 / 24 ) = 1 / 6 chance of this happening . 2 ) c 2 = ( 5 / 25 ) ( 20 / 24 ) = 1 / 6 chance of this happening . then : ( 1 / 6 ) + ( 1 / 6 ) = 1 / 3 , chance of getting the result that you wanted . answer e .
Answer: E