Q$.$ # $1$ In a group of $2000$ males, it was found that $30\%$ liked Toyota, $25\%$ liked Honda and the remaining liked the other car brands. A sample of $250$ males was selected from this group. What is the probability that

$($a$)$ At most $33\%$ of males liked Toyota Cars.

$($b$)$ Between $23\%$ to $28\%$ of males liked Honda Cars.

$($c$)$ At least $42\%$ of males liked the other Cars.