In a city school, 60% of students have blue eyes, 55% have dark hair, and 35% have blue eyes and dark hair. What is the probability (rounded to the nearest whole percent) that a randomly selected student has dark hair, given that the student has blue eyes?
58%
20%
80%
64%
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OpenStudy (anonymous):
Oh hello there
OpenStudy (anonymous):
Hi lol
OpenStudy (anonymous):
Can anyone help?
OpenStudy (anonymous):
I dont know how. Give me a few minutes
OpenStudy (anonymous):
OK
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OpenStudy (er.mohd.amir):
given that P(blue eye)=P(A)=60%=0.6
P(dark hair)=P(B)=55%=0.55
P(A intersection B)=35%=0.35
OpenStudy (er.mohd.amir):
this problem of conditional probabilty
OpenStudy (anonymous):
Ok one sec
OpenStudy (anonymous):
How do I go about solving this though? What goes where? How do I set it up?
OpenStudy (er.mohd.amir):
P(B/A)=P(A interscetion B)/P(A)
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OpenStudy (er.mohd.amir):
simply put values
OpenStudy (anonymous):
Snufflebug02 do you still need explanation
OpenStudy (anonymous):
Kind of I don't know how to solve it
OpenStudy (er.mohd.amir):
since its select dark hair but its given that that has blue eye
OpenStudy (er.mohd.amir):
formula if select an event A but its given that event B then P(A/B)=P(A and B)/P(B)
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OpenStudy (anonymous):
It asks for people who have dark hair and blue eyes. 55% have dark hair and 35% have dark hair and blue eyes. So it is 35 people out of 55. Thats why Er.Mohd.AMIR said 35 divided by 55. I hope you understand