Choose the one alternative that best completes the statement or answers the question.
-The faculty at a college consists of 116 full-time teachers and 50 part-time teachers. Of the 116 full-time teachers, 57 are female. Of the 50 part-time teachers, 27 are female. Find the probability that a randomly
Selected teacher is male or works part-time.
A) $\frac { 109 } { 166 }$
B) $\frac { 43 } { 83 }$
C) $\frac { 66 } { 83 }$
D) $\frac { 23 } { 166 }$

Question

Choose the one alternative that best completes the statement or answers the question.
-The faculty at a college consists of 116 full-time teachers and 50 part-time teachers. Of the 116 full-time teachers, 57 are female. Of the 50 part-time teachers, 27 are female. Find the probability that a randomly
Selected teacher is male or works part-time. 
A) $\frac { 109 } { 166 }$
B) $\frac { 43 } { 83 }$
C) $\frac { 66 } { 83 }$
D) $\frac { 23 } { 166 }$

Quizplus · Accepted Answer

The total number of teachers is 116 full-time + 50 part-time = 166. The number of male full-time teachers is 116 - 57 = 59. The total number of part-time teachers is 50. Since the question asks for the probability of selecting a male teacher or a part-time teacher, we add the number of male full-time teachers to the total number of part-time teachers (since part-time includes both males and females and there's no overlap with full-time males). So, 59 (male full-time) + 50 (part-time) = 109. Therefore, the probability is 109 out of 166, or $\frac{109}{166}$.

Choose the One Alternative That Best Completes the Statement or Answers