There are 10 books on a shelf: 7 English books, 3 Spanish books and 2 Portuguese books. What is the probability of choosing 2 books in different languages?	Choose the correct choice:
A) 31/90 B) 3/10 C) 1/3 D) 41/45 E) 28/90
Probability = Favourable outcome / Total Outcome = 1- (Unfavourable outcome / Total Outcome)   Favourable Outcomes   Case-1: One book is English (out of 7 English books) and one book is Spanish (out of 3 Spanish books) i.e. 7C1*3C1   Case-2: One book is Spanish (out of 3 Spanish books) and one book is Portuguese (out of 2 Portuguese books) i.e. 3C1*2C1   Case-3: One book is English (out of 7 English books) and one book is Portuguese (out of 2 Portuguese books) i.e. 7C1*2C1   Total favourable Outcomes = 7C1*3C1+3C1*2C1+7C1*2C1 =21+6+14= 
<gadget id="calculator">21+6+14</gadget>
<output>41</output>
41   Total Possible Outcomes= 10C2 = 45   i.e. Probability = 41/45   41/45
<result>D</result>
There are 10 books on a shelf: 7 English books, 3 Spanish books and 2 Portuguese books. What is the probability of choosing 2 books in different languages?