Reference no: EM132852482
EX 1)
Suppose Alice and Bob are sitting in a classroom containing 9 students in total. A teacher randomly divides these 9 students into two groups: group I with 4 students, group II with 5 students.
(a) What is the probability that Alice is in group I?
(b) If Alice is in group I, what is the probability that Bob is also in group I?
(c) What is the probability that Alice and Bob belong to the same group?
EX 2)
In a certain population, it was found that 42% of individuals had an alcoholic father, 8% of individuals had an alcoholic mother and 48% of them had at minus an alcoholic parent. If we randomly choose an individual from this group, what is the probability that:
(a) the individual has two alcoholic parents?
(b) the individual has an alcoholic mother but does not have an alcoholic father?
(c) the individual has an alcoholic mother knowing that the individual has an alcoholic father?
(d) the individual has an alcoholic mother if the individual does not have an alcoholic father?