SOLUTION: In a class of 28, 4 out of 16 girls and 7 out of 12 boys wear contact lenses. A student is chosen randomly from the class. (a) What is the probability that the chosen student is

Question 361985: In a class of 28, 4 out of 16 girls and 7 out of 12 boys wear contact lenses. A student is chosen randomly from the class.
(a) What is the probability that the chosen student is not wearing contact lenses?
(b) What is the probability that the chosen student is a girl or someone who does not wear contact lenses?
(c) If the chosen student is wearing contact lenses, what is the probability that the chosen student is a boy?
(d) If G represents the event that the chosen student is a girl and C represents the event that the chosen student wears contact lenses, determine whether events G and C are independent.

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Make a table with Boys and Girls at the top and CLs and No CLs on the side and fill in the 4 boxes with the appropriate numbers for questions a) thru c).
a) 17/28
.
b) 21/28
.
c) 7/11
.
d) Event G and C are not independent because P(G|C)(.37) in not equal to P(G)(.59).
.
Ed
RELATED QUESTIONS
An algebra class has 17 boys and 16 girls. One student is chosen at random from the... (answered by jim_thompson5910)

A class is made up of 2 boys and 12 girls. Half of the girls wear glasses. A student is... (answered by addingup)

A class is made up of 8 boys and 12 girls. Half of the boys wear glasses. A student is... (answered by ikleyn)

There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the... (answered by edjones)

There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the... (answered by ewatrrr)

There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the... (answered by Edwin McCravy)

There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the... (answered by ewatrrr)

A class is made up of 4 boys and 14 girls Half of the girls wear glasses. A student... (answered by ikleyn)