$6.$ A program has $15\%$ control instructions. There are three branch instructions which have following taken$($T$)/$not$-$taken$($N$)$ sequences, TTTTNTTTTNTTTTN$,$ TNNNNTNNNNTNNNN and TTTTTTTTTNTTTTN$.$ If the CPU implements $2$BC$,$ what is the prediction probability for those three branches? If there are no other branch instructions, what is the overall CPI for this program? Assume base CPI with perfect predictor is $1.$ Miss$-$prediction penalty and BTB miss $($address is not available in BTB$)$ penalty both are $2-$cycles. Assume, in BTB miss, branch is not$-$taken $($N$).$