300 students were asked if they were satisfied with the choice ofclasses. One st

Question

300 students were asked if they were satisfied with the choice ofclasses. One student is to be randomly selected from thosesurveyed.
                               male                     female              Total

Satisfied                   63                           64                  127
Nonsatisfied            77                           96                   173
Total                        140                       160                    200

What is the probability that the student chosen was satisfied giventhat the student is a girl?

Explanation / Answer

The Pr[ Satisfied given Female] = #Satsified Females /#Females = 64/160 = 2/5 = 0.40 Note about conditional probability: When we have a givenevent, this event is restricting our sample space. In thiscase the given event "female" restricted our sample space from allthose surveyed (200) to just the females surveyed (160). Also, there appears to be a typo in the question, as the firstsentence states that 300 were surveyed, when the data shows only200. Best! Note about conditional probability: When we have a givenevent, this event is restricting our sample space. In thiscase the given event "female" restricted our sample space from allthose surveyed (200) to just the females surveyed (160). Also, there appears to be a typo in the question, as the firstsentence states that 300 were surveyed, when the data shows only200. Best!

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