hello Aspirant

I hope you are doing good. This question can be answered by applying base theorem

probabibility ofn choose 1st bag =1/2

probability of chossing 2nd bag=1/2

Probability of getting red ball from bag 1=5/8

Probability of getting red ball from bag2=1/4

Proability of having red ball form bag1

= (1/2*5/8)/((1/2*5/8)+(1/2*1/4))

Solve this now by your own that will be your required answer

Hope you found this answer helpful. Good luck for your future