Using counts in a 2-by-2 table to get probabilities and conditional probabilities

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Among the 30 applicants for a position at a bank, some are married and some are not, some have had experience in banking and some have not, with the exact breakdown being:

                     Married      Single 
Some experience      6             3 
No experience        12            9

If the branch manager randomly chooses the applicant to be interviewed first, in which M denotes the event that the applicant is married, and E denotes that the applicant has had some experience in banking, find the value of $P(M)$, $P(M \cap E)$ and $P(E|M)$.

I answered it like this, but not really sure if it is correct:

$P(M) = 18/30 = 0.6$

$P(M \cap E) = 6/30 = 0.2$

$P(E|M) = P(E \cap M)/ P(M) = 0.2/0.6 = 0.33$