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The faculty at a college consists of 90 full-time
teachers and 51 part-time teachers. Of the 90
full-time teachers, 50 are female. Of the 51 part-
time teachers, 29 are female. Find the probability
that a randomly selected teacher is male or works
part-time.

Respuesta :

MrRoyal

Probabilities are used to determine the chances of events

The probability that a teacher is male or works part-time is 0.645

How to determine the probability

The given parameters are:

Full-time = 90

Part-time = 51

From the above parameters, we have:

Male Full-time = 40

Female Full-time = 50

Male Part-time = 22

Female Part-time = 29

The number of teachers that are male or works part-time is:

n = Male + Part time - Male part time

So, we have:

n = (40 + 22) + 51 - 22

Evaluate the sum

n = 91

The probability is then calculated as:

[tex]Pr = \frac{n}{Total}[/tex]

So, we have:

[tex]Pr = \frac{91}{90 + 51}[/tex]

[tex]Pr = 0.645[/tex]

Hence, the probability that a teacher is male or works part-time is 0.645

Read more about probability at:

https://brainly.com/question/25870256

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