A barrel contains only apples and oranges. There are twice as many apples as oranges. The apples are either red or yellow and 4 times as many red as are yellow. If one piece of fruit is to be drawn at random from the barrel, what is the probability that the piece drawn will be a yellow apple?
Let x be the oranges and y be the apples.
y=2x(as there are twice as many apples as oranges)
Let y= 5z (assume 4 Red apple and 1 Yellow apple)
Red apples = 4z = 4y/5 = 8x/5
Yellow apples = z = 2x/5
P = Total number of favorable Event / Total number of event
(yellow Apple) / Sum of Apples and Oranges
Probability that the piece drawn is a yellow apple :
(2x/5) / (x+y) ( => y = 2x)
= (2x/5)/3x= 2/15
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