- Probability of chosing bag A: 1/3
- Probability of chosing bag B: 2/3
- Bag A has 35 red marbles with 65 blue marbles.
- Bag B has 55 red marbles with 45 blue marbles

__If I get a red marble, what is the probability it came from bag A?__

Guest Nov 19, 2017

#1**+1 **

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.

geno3141
Nov 19, 2017

#1**+1 **

Best Answer

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.

geno3141
Nov 19, 2017