Question

A bag contains 15 marbles, 6 red, 4 blue and 5 Green. Tommy will randomly select a marble record its color and replace it. What is the probability Tommy selects a red marble and then a Blue Marble?​

Answer 1

The probability that Tommy selects a red marble and then a blue marble, with replacement, is 8/75.

Step-by-step explanation:

The question asks us to calculate the probability that Tommy selects a red marble and then a blue marble from a bag containing 15 marbles: 6 red, 4 blue, and 5 green. Since the marble is replaced after each selection, the probabilities remain the same for each draw. The probability of selecting a red marble is the number of red marbles over the total number of marbles, which is 6/15. The probability of then selecting a blue marble is the number of blue marbles over the total number of marbles, which is 4/15. To find the combined probability of two independent events, we multiply the probabilities of the individual events: (6/15) * (4/15), which simplifies to (2/5) * (4/15), and then to 8/75.