Question

# Of the 11 instructors in the English department, four are new to the department and three...

Of the 11 instructors in the English department, four are new to the department and three are female. However there is only one who fits all of the descriptions. Find the probability that if you randomly choose a course taught by these instructors, you get either a new instructor or a female instructor.

Let us first define the two events-

A : event that a new instructor teaches the course.

B : event that a female instructor teaches the course.

Total number of instructors =11

Number of new instructors in the deparments=4

Number of instructors that are female = 3

Therefore, P(A) =4/11

P(B) = 3/11

However, there is only one who fits all of the description that is

Therefore the probability that if we randomly choose a course taught by these instructors, we get either a new instructor or a female instructor is

= 4/11 + 3/11 - 1/11

= 6/11

#### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Need Online Homework Help?

Most questions answered within 1 hours.

##### Active Questions
• what are foreign exchange markets? why are they essential to a modern system of international trade...
• Describe ways to institutionalize ethics in an organization
• Electrocomp’s management realizes that it forgot to include two critical constraints (see Problem 7-14). In particular,...
• Given a nonlinear system   x(t)" + cx(t)' + sin(x(t)) = 0                       (3-1) a) Consider its phase...
• Discuss the use of single and dominant corporate-level strategies. When are single or dominant strategies preferred...
• Consider a 0.317L solution of the amino acid glutamic acid(0.575M), which has the alpha carboxylic group...