There are two men V1 and V2. Each man has two buckets A and B. Bucket A contains numbered blocks from 7 to 14. Bucket B contains numbered blocks from 15 to 30.

V1 and V2 can pick any numbered block (X) with a uniform probability from any bucket (A or B). However, the probability of selecting bucket A is 0.6 while probability of selecting bucket B is 0.4.

I want to know what is the probability that V1 and V2 select an identical numbered block, if they operate independently.

Also, what would be the expectation of X in this case

A stepwise formulation would be very helpful.

Thanks