1) A group of students were asked about their itunes collection. The probability that a student had downloaded the album by group X was 33%. The probability that a student downloaded the album by group Y was 41%. However, if you only asked the students that downloaded the X album, there was a probability of 59% that they would also have the group Y album (think conditional probability). Draw a Venn Diagram ( X and Y will intersect)

Question

1) A group of students were asked about their itunes collection. The probability that a student had downloaded the album by group X was 33%. The probability that a student  downloaded the album by group Y was 41%. However, if you only asked the students that downloaded the X album, there was a probability of 59% that they would also have the group Y album (think conditional probability).  Draw a Venn Diagram ( X and Y will intersect)
 
Find:

a)The probability that a student, chosen at random, will have both albums dowloaded. Think ∩ .
 
b) A student with the group Y album, will also have the group X album
 
c) A student has the group X album, but not the group Y album.

d) A student has neither album.(think intersection of compliments