Q$2.$ Suppose a state is given

$||>=2/3|00>+1/3|01>-2/3||11>$

$($a$)$ If $||$phi$>=($I ox H$)|$phi$>,|$where $H$ denotes the Hadamard gate. Write $||$phi$>|$ in the computational basis. $[2]$

$($b$)$ Suppose the first qubit of $||>|$is measured in the computational basis. What is the probability of obtaining $|0|>|,$ and in the event that this outcome occurs, what is the resulting state of the second qubit? $[4]$

$($c$)$ Suppose the second qubit of $||>$ is$|$ measured in the computational basis. What is the probability of obtaining $|0|>|,$ and in the event that this outcome occurs, what is the resulting state of the first qubit?

$[4]$