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.

$8

step-by-step explanation:

it is pretty much backwards.

you take the 4x2 multiply that, and that is = $8