Did you know?
Did you know that the probability of picking a red marble and a yellow marble without replacement from a bag containing 5 red marbles, 3 green marbles, and 4 yellow marbles can be calculated using basic probability principles? In this case, the probability of picking a red marble first would be 5/12, since there are 5 red marbles out of a total of 12 marbles in the bag. After picking a red marble, there would be 11 marbles left in the bag, including 4 yellow marbles. Therefore, the probability of picking a yellow marble next would be 4/11. To find the probability of both events occurring together, we would multiply the individual probabilities, resulting in a final probability of (5/12) * (4/11) = 20/132 or approximately 0.1515. So, the chance of picking a red marble and then a yellow marble without replacement from this specific bag is approximately 15.15%.
