If there are 3 blue marbles, 2 red marbles, and 4 green marbles in a bag, what is the probability of drawing 2 red marbles if you replace the first one after you draw it?
The probability of drawing a red marble on the first try is 2/9. Since we are replacing the marble after each draw, the total number of marbles remains the same (9) for the second draw. Therefore, the probability of drawing a red marble on the second try is also 2/9. To find the probability of both events happening (drawing two red marbles), we multiply the probabilities:
2/9 x 2/9 = 4/81
Therefore, the probability of drawing 2 red marbles if you replace the first one after you draw it is 4/81.