Consider the following string of page references: $7,0,1,2,0,3,0,4,2,3,0,3,2.$

Given an empty main memory with $3$ page frames, find out the page miss rate for the FIFO page replacement algorithm. Count page faults only after all frames have been initialized.

$50\%,..a$

$70\%,.b$

$30\%,.c$

$60\%,.d$