If I get a red marble, what is the probability it came from bag A?
The probability of choosing a red marble from bag A: (1/3) x (35/100) = 7/60
The probability of choosing a red marble from bag B: (2/3) x (55/100) = 22/60
The probability of getting a red marble is 29/60.
Getting that red marble from bag A is 7/60 / 29/60 = 7/29.
Getting that red marble from bag B is 22/60 / 29/60 = 22/29.
The probability of choosing a red marble from bag A: (1/3) x (35/100) = 7/60
The probability of choosing a red marble from bag B: (2/3) x (55/100) = 22/60
The probability of getting a red marble is 29/60.
Getting that red marble from bag A is 7/60 / 29/60 = 7/29.
Getting that red marble from bag B is 22/60 / 29/60 = 22/29.