Question

ere are 2 urns. urn 1 has 3 red, 5 blue, and 2 yellow marbles. urn 2 has 5 red, 4 blue, and 6 yellow marbles. you reach into one of the urns and grab 2 marbles. they are red and yellow. what is probability you reached into urn 2?

Answer 1

The probability of reaching into urn 2 after grabbing a red and yellow marble is 15/98.

Step-by-step explanation:

To calculate the probability of reaching into urn 2 after grabbing a red and yellow marble, we need to consider the probabilities of reaching into each urn and retrieving those marbles. Let's calculate:

The probability of grabbing a red and yellow marble from urn 1 is: (3/10) * (2/9) = 1/15

The probability of grabbing a red and yellow marble from urn 2 is: (5/15) * (6/14) = 15/98

Therefore, the probability of reaching into urn 2 after grabbing a red and yellow marble is 15/98.