Bag A contains 3 white and 2 black
White and 2 black balls. Bag B contains 5 white and 3 black balls. Two balls of different
colours are drawn from bag Aand
from bag Aand put into bag B and then a ball is drawn from bag B.
d the probability that the ball drawn is white.
Answers
Answer:
It should be 3/5as 2 balls are taken from bag A as well and that to of different colours means a white and a black ball.....so as per that it should be 3/5.
The probability that the ball drawn is white is 49/80
Total number of bags = 2 = A and B (Given)
Total number of balls in bag A = 3+2 = 5
Number of white balls = 3
Probability of choosing white ball from A = 3/5
Out of bag A and B, the probability of drawing ball from bag A = 1/2
Thus,
Probability of choosing A and drawing a white ball
= (3/5) × (1/2)
= 3/10
Total number of balls in bag B = 5+3 = 8
Number of white balls = 5
Probability of choosing white ball from B = 5/8
Out of bag A and B, the probability of drawing ball from bag B = 1/2
Thus,
Probability of choosing B and drawing a white ball
= (5/8) ×(1/2)
= 5/16
Thus, if a bag is chosen at random, the chance that ball is white
= (3/10) + (5/16)
= 49/80