Margaret noticed some students in her reading group like to write with short pencils, while others were using long pencils, she
measured the lengths of each student's pencil and wrote them (in terms of fractions of an inch) e the data to create a line plot according to the guidelines shown at the right. Len
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Answer:
The probability that they will teach different courses is .
Step-by-step explanation:
Sample space is a set of all possible outcomes of an experiment.
In this case we will write the sample space in the form (x, y).
Here <em>x</em> represents the course taught by the first part-time instructor and <em>y</em> represents the course taught by the second part-time instructor.
Denote every course by their first letter.
The sample space is as follows:
S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}
The outcomes where the the instructors will teach different courses are:
s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}
The probability of an events <em>E</em> is the ratio of the number of favorable outcomes to the total number of outcomes.
Compute the probability that they will teach different courses as follows:
Thus, the probability that they will teach different courses is .