Question 352212
20 COLLEGE GRADUATES ( MEN - 15 , WOMEN - 5)

10 NOT GRADUATES FROM COLLEGE ( MEN- 6 ,WOMEN - 4) 


TOTAL NO. OF WAYS TO SELECT 1 PERSON FROM TOTAL 30 = 30C1 = 30




NO. OF WAYS TO SELECT 1 MAN FROM TOTAL 21 MEN = 21C1 = 21

PROBABILITY OF GETTING MAN = 21/30 

NOW, 
     NO. OF WAYS TO SELECT 1 COLLEGE GRADUATE FROM 20 = 20C1 = 20
      
    PROBABILITY OF GETTING COLLEGE GRADUATE = 20/30

 TOTAL NO. OF MEN THOSE ARE GRADUATE = 15
        
          NO. OF WAYS TO SELECT 1 GRADUATE MEN FROM 15 = 15C1 = 15
       
      PROBABILITY OF GETTING GRADUATE MEN = 15/30

USING, P(A U B) = P(A) + P(B) -P(A Π B) ( i.e A intersection B)


REQUIRED PROBABILITY = PROB. OF MAN + PROB. OF GRADUATE - PROB. OF GRADUATE MEN

                = 21/30 + 20/30 - 15/30
                
                 = 26/30 


                 = 13/15


ANS :  13/15

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