Answer:
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.