Bag A contains 6 green discs and 4 red discs

Bag B contains 3 green discs and 7 red discs

I am twice as likely to select a disc from bag A as i am from bag B

write down the probability that I will select from bag A?

let probability of bag B is P, then 2P + P= 1 m P=1/3

Answer is 2/3 , is this correct ?