Bissoy.com
Doctors Medicines MCQs Q&A

There are 12 balls of three colours Red, Blue and Green in a box. The number of all three colours is different. The difference of Red and Blue colours is equal to number of Green colour balls. If a ball is drawn 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 12 balls of three colours Red, Blue and Green in a box. The number of all three colours is different. The difference of Red and Blue colours is equal to number of Green colour balls. If a ball is drawn 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:

Red balls + Blue balls + Green balls = 12    ---(1)

Case 1,

Red balls – Blue balls = Green balls ---(2)

Case 2, 

Blue balls – Red balls = Green balls ---(3)

Case 1,

On solving equation (1) and (2)-

Red balls  = 6                                                                        

So, Blue balls + Green balls  = 6                                                                      

Possible value of Green balls = 1, 2, 3, 4, 5

Case 2,

On solving equation (1) and (3)-

Blue balls = 6       

So, Red balls + Green balls = 6       

Possible value of G = 1, 2, 3, 4, 5

According to question,

Green balls /12 > 0.25

Green balls /12 > 1/4

Green balls /12 > 3/12

Green balls > 3

Green balls  = 4, 5

Related Questions

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 15 balls of three colors Red, Blue and Green in a box. The number of balls of all three colors is different. The difference of Red and Blue color balls is equal to the difference of Blue and Green color balls. If a ball is drawn at random from the box then the probability of getting a Green ball is always more than 0.2. What can be the possible number of Green balls in the box? A. 4 B. 7 C. 5 D. 8 E. 3
Compare the values of the two quantities in the question and answer. Quantity 1: A bag contains 20 balls which are red, green and blue. Find the number of red balls in the bag, if the probability of picking a blue ball is 2/5 and that of either a red or a blue ball is 3/4. Quantity 2: A bag contains 25 balls which are red, green and blue. The probability of picking a red ball first is 2/5. If the first ball was red and without keeping it back, probability of picking a blue ball is 1/3, find the number of green balls.
A box contains red, green and blue colored balls. When one ball is drawn randomly from the box, the probability that it is either green or blue is 2/3. Also, the probability that the ball drawn randomly from the box is either red or green is 3/5. When two balls are drawn one after another from the box, the probability that both balls are of green color is 1/15. Find the total number of balls in the box.
A box contains red, green, and blue colored balls, such that the probability of picking a blue ball is 37.5% of the probability of picking a red ball, and the probability of picking a red ball is 88.89% of the probability of picking a green ball. If the box contains 8 red balls, then how many total balls are there in the box?
Directions: Seven different boxes A, B, C, D, E, F and G of different colours viz., Orange, Pink, Purple, Yellow, Blue, Red and Green are arranged one above the other. The box at the bottom of arrangement is numbered 1, the above box is numbered 2 and so on. B is immediately above E. More than two boxes are above the Orange box. The Yellow box is immediately below A. Only one box is between the Orange box and F. G is immediately above the Red box. Only one box is between B and the Pink box. Only two boxes are between the Pink and the Green box. Only two boxes are between the Yellow box and the Orange box. The Purple box is neither at the top nor at the bottom of the arrangement.B is above Pink box. C is immediately above F. Neither C nor G is a Yellow box. G is not a Orange box. Question: Which combination represents the position of C and its colour?
The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. Find the probability that both the balls are of blue color. Statement I: In a bag containing 4 red balls, 6 blue balls and 8 yellow balls, two balls are drawn at random one by one without replacement. Statement II: First ball is blue and if this happens then 5 more blue balls are added in the bag Statement III: Total blue balls are twice more than the other balls at the end of the drawing of balls
A bag contains 4 red balls, 6 blue balls and 8 pink balls. One ball is drawn at random and replace with 3 pink balls. A second ball was drawn without replacement. What is the probability that the first ball drawn was either red or blue in colour and the second ball drawn was pink in colour? 
A bag contains 8 red balls and 12 blue balls. One ball Is drawn at random and replaced with 5 green balls. A second ball was drawn without replacement. What Is the probability that first ball drawn is red In colour and the second ball drawn Is blue in colour?
A bag contains 8 red balls and 12 blue balls. One ball Is drawn at random and replaced with 5 green balls. A second ball is drawn without replacement. What Is the probability that the first ball drawn is red in colour and the second ball drawn is blue in colour?