Probability of 2 variable series coincidence

[ggurumanohar]

probability of 10 consecutive heads for a flipping coin is 1/2^10 (1/ 1024), what is the probability of 10 consecutive coincidence of 2 flipping coins? ( In detail, we will flip 2 coins side by side, how to calculate the probability of coming 10 continuos same sides (any side) for two coins.)

 

[pka]

probability of 10 consecutive heads for a flipping coin is 1/2^10 (1/ 1024), what is the probability of 10 consecutive coincidence of 2 flipping coins? ( In detail, we will flip 2 coins side by side, how to calculate the probability of coming 10 continuos same sides (any side) for two coins.)

If we flip two coins side by side the outcomes of just one time is
\(\begin{array}{*{20}{c}} H&H \\ H&T \\ T&H \\ T&T \end{array}\)
As you can see half the time they match and half of the time they do not..
So what to you think?