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 humanities science other male 70 50 60 female 80 80 70 question 18 options: 0.467 0.269 0.389 0.171

In order to get the probability of the students first class of the day is a humanities class, and students who are males. First is to divide the values and strictly analyze the data properly and try to make and equation and i think that would help a lot and the possible probability is 0.387

Step-by-step explanation:

The probability is:

                  0. 389

Step-by-step explanation:

We are given a two way frequency table as:

               Humanities   Science      Other      Total

  Male           70                50         60         180

 Female        80                80         70         230

 Total           150              130        130        410    

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

Let A denote the event that a student takes humanities class.

and B denote the event that a student is a male.

Then A∩B denote the event that a  male student takes humanities class.

Also, let P denote the probability of an event.

Hence,

Also,

We are asked to find:

P(A|B)

We know that:

Hence, we have:

         Hence, the probability is:

                 0.389