Solve the problem. Express the answer as a percentage.
-37\% of the workers at Motor Works are female, while $70 \%$ of the workers at City Bank are female. If one of these companies is selected at random (assume a 50-50 chance for each), and then a worker is selected at random, what is the probability that the worker will be female?
A) $70 \%$
B) $53.5 \%$
C) $37 \%$
D) $33 \%$

Question

Quizplus · Accepted Answer

The probability of selecting a female worker is calculated by taking the average of the probabilities of selecting a female worker from each company, weighted by the probability of selecting each company. This is $(0.5 \times 37\%) + (0.5 \times 70\%) = 53.5\%$.

Solve the Problem 70%70 \%70% Of the Workers at City Bank Are Female

Solve the Problem $70 \%$ Of the Workers at City Bank Are Female