A purse contains 4 copper coins and 3 silver coins. A second purse contains 6 copper coins and 4 silver coins. A purse is chosen randomly and a coin is taken out of it. What is the probability that it is a copper coin?

A

$$\frac{70}{82}$$

B

$$\frac{35}{70}$$

C

$$\frac{41}{82}$$

D

$$\frac{41}{70}$$