SOLUTION: A bowl contains orange and green candles. The probability of randomly selecting an orange can is 1/4 and the probability of randomly selecting a green candy is 1/6. Which of the fo

Let x = # of orange candles and y = # of green candles.


Then from the condition


 = ,      (1)

 = .      (2)


From this system


4x = x + y                (3)

6y = x + y                (4)


To solve it, express  y = 4x - x = 3x  from equation (3) and substitute it into equation (4). You will get


6*(3x) = x + 3x,

18x = 4x


It has the solution  x= 0  ONLY.


Similarly,  y= 0 is the only solution for y.


ANSWER.  The condition describes an IMPOSSIBLE situation.


         The events, described in the post, NEVER MAY happen.

    The condition mixes candles, cans and candies by a bizarre way.