The two-way frequency table shows the results of a survey of college students. find the probability that a student's first class of the day is a humanities class, given the student is male. round to the nearest thousandth.
first class of the day | male | female

humanities | 70 | 80
science | 50 | 80
other | 60 | 70

The probability is: 0.3889.

Step-by-step explanation:

Let R be an outcome that the class is of humanities.

Let S be an outcome that the student is male.

Total number of male students=70+50+60=180.

We need to find the probability that a student's first class of the day is a humanities class, given the student is male.

i.e. we need to find P(R|S),

where P(R∩S) is the probability that the student is in humanities class and is a male.

and P(S) is the probability that student is male.

and

Hence, the probability that a student's first class of the day is a humanities class, given the student is male is: 0.3889

step-by-step explanation:

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