a bag contains 3 red 5 yellow and 7 purple marbles find the probability of drawing a purple marble followed by a red marble the first marble is put back in the bag between draws

Required probability = 7/75.

Step-by-step explanation:

Probability (purple marble) = 7/15 (as there are 7 marbles out of a total of 15.)

Probability (red marble) = 3/15 = 1/5.

So the probability of a purple being drawn followed by a red marble

= 7/15 * 1/5

= 7 / 75 (answer).

Note: the 2 probabilities are multiplied because the 2 draws are independent of each other.