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There are a total of 12 balls of three colours Red, Blue and Green in a box. The number of balls of all the three colours is different. The difference of Red and Blue colour balls is equal to the number of Green colour balls. If a ball is drawn randomly from the box then the probability of getting a Green ball is always greater than 0.25. what can be the possible number of Green colour balls in the box? A. 2 B. 3 C. 4 D. 5 E. 6 

There are a total of 12 balls of three colours Red, Blue and Green in a box. The number of balls of all the three colours is different. The difference of Red and Blue colour balls is equal to the number of Green colour balls. If a ball is drawn randomly from the box then the probability of getting a Green ball is always greater than 0.25. what can be the possible number of Green colour balls in the box? A. 2 B. 3 C. 4 D. 5 E. 6  Correct Answer C, D

According to question:

R + B + G = 12      ---- (1)

And, R – B = G or B – R = G     ---- (2)

On solving (1) and (2)

R = 6 or B = 6

So, B + G = 6 or R + G = 6                                          

Hence, possible value of G = 1, 2, 3, 4, 5       ---- (3)              

Also, G/12 > 0.25

⇒ G/12 > ¼

⇒ G/12 > 3/12

⇒ G > 3      ---- (4)

∴ From equations 3 and 4, we have

G = 4, 5

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