Bunuel
Tracy has 3 bags of marbles, each bag containing at least 1 blue marble, at least 1 red marble, and no marbles of another color. If Tracy selects 1 marble at random from each bag, what is the probability that all 3 marbles that she selects will be red?
(1) There is a total of 5 red marbles and 5 blue marbles in the 3 bags.
(2) The ratios of red to blue marbles in the 3 bags are 2: 1, 1: 1, and 1: 2.
There are three bags B1, B2, B3 and each bag has ATLEAST 1 red and 1 blue ball.
Probability when three balls are selected at random and all three are red .
Statement 1:
(1) There is a total of 5 red marbles and 5 blue marbles in the 3 bags.
this says about B3, and no information is provided about B2 and B1. Hence,
Insufficient. Options A,D eliminated. Statement 2:
(2) The ratios of red to blue marbles in the 3 bags are 2: 1, 1: 1, and 1: 2.
This gives the ratio of red to blue balls in all the bags.
ignoring, the mathematical calculations behind. We can reasonably conclude that with these parameters, we can answer the question. Hence,
Sufficient Option B