HASH Carp Persistence

But this will work if the LTM gives us the same pool member based on the Load balancing algorithim like Round Robin, Least Connections, which is not the case as it may select any pool member.

i understand load balancing algorithm won't be taken into account when using carp except ratio based with carp which is introduced in 11.3.0.

Ratio based load balancing with CARP persistence

Cache Array Routing Protocol (CARP) Persistence now leverages pool member ratio to enhance traffic distribution to heterogeneous server pools. Administrators can direct more traffic to more capable servers. The pool member's ratio is considered when calculating the hash value in the CARP mode of hash persistence.

Release Note: BIG-IP LTM and TMOS 11.3.0