In the legal eagle law firm, 68% of the lawyers are male while 32% are female. of the male lawyers, 44% are corporate lawyers and 56% are non-corporate lawyers. of the female lawyers, 29% are corporate lawyers and 71% are non-corporate lawyers. if a lawyer is chosen at random and they are not a corporate lawyer, calculate the probability that they are female. give your answer as a decimal to 2 decimal places. probability = submit answers bookmark

If a lawyer is chosen at random and they are not a corporate lawyer, there is a 37.37% probability that they are female.

Step-by-step explanation:

In this problem, we have these following probabilities:

A 68% probability that the lawyer is male.

A 32% probability that the lawyer is female.

If he is a male, a 44% probability that he is a corporate lawyer and a 56% probability that he is not a corporate lawyer.

If she is female, a 29% probability that she is a corporate lawyer and a 71% probability that she is not a corporate lawyer.

If a lawyer is chosen at random and they are not a corporate lawyer, calculate the probability that they are female.

This is the probability that a lawyer is female and a non corporate lawyer divided by the probability that a lawyer is not a corporate lawyer.

Probability that a lawyer is a non-corporate lawyer.

68% of the lawyers are male. Of those, 56% are non corporate.

32% of the lawyers are female. Of those, 71% are non corporate.

So:

Probability that a lawyer is a female and non-corporate:

32% of the lawyers are female. Of those, 71% are non corporate.

Finally

If a lawyer is chosen at random and they are not a corporate lawyer, there is a 37.37% probability that they are female.

chemists are often responsible for designing a chemical reaction and analyzing the products obtained from it. one significant part of designing a chemical reaction is determining the amount of each reactant that is needed and the amount of each product that will be produced. in order to do so, chemists use stoichiometry, the quantitative relationships between reactants and products.

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