The question tell us that out of 700 people , 120 are lawyer hence, 580 people are not lawyers. Now, the question is asking what is the probability that if we select 2 people at random out of 700, they’ll not be lawyers .

thus, we need to find:

\text{Probability} = \frac{desired}{total}

\frac{580}{700} → This is the probability of one person getting selected which is not a lawyer plus the probability of selecting another person who is also not a lawyer which turns out to be :\frac{579}{699}

Notice , how we deduct 1 from 580(people who were not lawyer) because we already selected 1 non lawyer person first and we apply same logic to total number of people hence, we get 699

\frac{580}{700}*\frac{579}{699} =\text{Neither member selected be a lawyer}

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