SOLUTION: 65% of the students in a certain small college�s population are women. It is also noted at this college that women are twice as likely to take Poetry as men. In one semester 30% of

Question 356147: 65% of the students in a certain small college�s population are women. It is also noted at this college that women are twice as likely to take Poetry as men. In one semester 30% of the college�s women take Poetry. If a randomly selected college student is in a Poetry class, what is the probability that this student is a female?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
.65 F & .35 M Students
.30 F & .15 M take poetry
.
.65*.30=.195 F taking poetry
.30*.15=.0525 M taking poetry
.
.195+.0525=.2475 student body taking poetry.
.
.195/.2475=.7879 probability student is female.
.
Ed
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