1) Three randomly choosen non negative intergers x,y and z are found to satisfy the equation x+y+z=10 , Then the probability that z is even is A) 12 B) 3655 C) 611 D) 511 Answer: Option CExplanation:Sample space →12C2 Number of possibilities for z is even z=0⇒11C1 z=2⇒9C1 z=4⇒7C1 z=6⇒5C1 z=8⇒3C1 z=10⇒1C1 Total=36 ∴Probability=3666=611