You have two bags of marbles that have the following content:
Bag 1: 6 red,4 white Bag 2: 6 red,3 white
You reach into bag 1 (without looking),take out one marble and put it into bag 2.Then you reach into bag 2 and take out one marble.What is the probability that the marble chosen from bag 2 is red?
A)0.42
B)0.60
C)0.66
D)0.70

Question

Quizplus · Accepted Answer

The probability of taking a red marble from Bag 1 and putting it into Bag 2 is 6/10 or 3/5. After transferring a red marble, Bag 2 would have 7 red and 3 white marbles, making the probability of drawing a red marble from Bag 2 equal to 7/11. If a white marble is transferred from Bag 1 to Bag 2, the probability of this event is 4/10 or 2/5, and Bag 2 would then have 6 red and 4 white marbles, making the probability of drawing a red marble from Bag 2 equal to 6/11. The total probability of drawing a red marble from Bag 2 is the sum of the probabilities of these two scenarios: (3/5)*(7/11) + (2/5)*(6/11) = 21/55 + 12/55 = 33/55, which simplifies to 0.60 or 60%.

You Have Two Bags of Marbles That Have the Following