Generate a decision tree from these training instances using the ID$3$ algorithm. Show all your calculations $\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|\}$

$\backslash$hline Instance & Attribute a$1$ & Attribute a$2$ & Class $\backslash \backslash$

$\backslash$hline $1$ & T & F & $-\backslash \backslash$

$\backslash$hline $2$ & T & F & $-\backslash \backslash$

$\backslash$hline $3$ & F & F & $+\backslash \backslash$

$\backslash$hline $4$ & F & T & $-\backslash \backslash$

$\backslash$hline $5$ & F & T & $+\backslash \backslash$

$\backslash$hline $6$ & T & T & $-\backslash \backslash$

$\backslash$hline $7$ & F & T & $+\backslash \backslash$

$\backslash$hline $8$ & F & T & $+\backslash \backslash$

$\backslash$hline $9$ & F & F & $+\backslash \backslash$

$\backslash$hline $10$ & T & F & $-\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$