If one ball is drawn from bag 1 and 1 ball is drawn from bag 3 Find the probability the these are gr...........

Quantitative Aptitude ( CCS) Case Studies

Directions : There are 3 bags containing 3 colored balls – Black, Green and White.
Bag 1 contains: 15 black balls. Probability of drawing a white ball is 2/5. The ratio of number of green ball to the number of white ball is 3:4.

Bag 2 contains: Number of black balls and number of white balls are equal. Number of green ball is 4/5^th of the number of green ball in bag 1. The probability of black ball is 5/14.

Bag 3 contains: Number of Black Balls is (1/3)rd of the total number of black balls in Bag 1 and Bag 2 together. Number of Green ball is half of the number of white ball in bag 1. The probability of drawing a white ball is 3/7

If one ball is drawn from bag 1 and 1 ball is drawn from bag 3. Find the probability the these are green ball.

3/35

9/245

11/245

4/35

8/35

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Explanation:

Bag 1= 15 Black, Green = 3x, white = 4x
P(white)= 4x/(15+4x+3x)=2/5
=> x= 5
B= 15; G= 15; W= 20
Bag 2: Black= White=x
Green=4/5*15=12
P(black)=x/(12+2x)= 5/14
x=15
B=15; G=12; W=15
Bag 3: B= 1/3* (15+15)= 10
G= ½*2=10
White=x
P(white)= x/ (10+10+x)=3/7
x=15
P(Green)= 15/50 * 10/35 = 3/35