A computing system employs a $(1,2)$ correlating branch predictor. Within a code segment, there are three branches labeled B$1,$ B$2,$ and B$3.$ At a particular juncture in execution, all three branches have been consistently taken, and their corresponding prediction bits are initialized to T$0.$ Subsequently, a series of branch outcomes follows, presented in the order of branch execution. What is the misprediction rate for this sequence?

Branch

B$1$

B$2$

B$3$

B$2$

B$1$

B$3$

B$1$

B$3$

B$1$

B$2$

B$1$

Outcome

N

T

T

N

T

N

T

N

T

N

T