Question

Lincoln High School has 84 teachers. 12 of the teachers teach math. Of the 32 females teachers, 6 teach math.

What is the probability that a teacher is a woman or teaches math? Express your answer as both a fraction and a percetage.

Answer 1

Probabilities are used to determine the chances of events

The probability that a teacher is a woman or teaches math is 45.24%

How to determine the probability

The given parameters are:

Teachers = 84

Math teachers = 12

Female teachers = 32

Female math teachers = 6

The number of female or math teachers is:

Female or math = Math + Female - Female math

So, we have:

Female or math = 12 + 32 - 6

Female or math = 38

The probability that a teacher is a woman or teaches math is:

$Pr = \frac{38}{84}$

Simplify

$Pr = \frac{19}{42}$

Express as percentage

$Pr = 45.24\%$

Hence, the probability that a teacher is a woman or teaches math is 45.24%

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