Probability

Question

The proportion of red balls in two baskets is 1/5 and ⅔, respectively. What is the probability of pulling a red ball out of a randomly selected basket? how to solve this?

Answer 1

provide your attempt please

Answer 2

I think, in the first basket we have 1/5*N red balls (N- all balls), 2/3*M red balls in second basket. when we pull randomly we have: P(1)=1/5N/N=1/5, and P(2)=2/3M/M=2/3. But we dont know from witch basket we take balls, so I need to multiply P(1)*P(2) or I am wrong?