The bag I contain 3 red and 4 black balls while Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. The probability that it was drawn from Bag II is
A. \(\frac{33}{68}\)
B. \(\frac{35}{69}\)
C. \(\frac{34}{67}\)
D. \(\frac{35}{68}\)
Answer:D
The bag I contain 3 red and 4 black balls while Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. The probability that it was drawn from Bag II is
A. \(\frac{33}{68}\) B. \(\frac{35}{69}\) C. \(\frac{34}{67}\) D. \(\frac{35}{68}\)