A group of 100 people produced the following information relating to three attributes. The attributes were wearing glasses, being left handed and having dark hair.
Glasses were worn by 36 people, 28 were left handed and 36 had dark hair. There were 17 who wore glasses and were left handed, 19 who wore glasses and had dark hair and 15 who were left handed and had dark hair. Only 10 people wore glasses, were left handed and had dark hair.
Represent these data on a Venn diagram.
A person was selected at random from this group.
Find the probability that this person
wore glasses but was not left handed and did not have dark hair,
did not wear glasses, was not left handed and did not have dark hair,
had only two of the attributes,
wore glasses given that they were left handed and had dark hair.