An introductory probability course has 100 students who can be divided by gender and soft drinkpreference (Brand A, Brand B, or other) as described in the following contingency table.Brand A (A) Brand B (B) Other (O) TotalMale (M) 12 23 3 38Female (F) 37 19 6 62Total 49 42 9 100Suppose that one of the students in this course is selected at random. What is the probability that the student(a) is female? That is, what is P(F)?(b) prefers Brand B? That is, what is P(B)?(c) is female and prefers Brand B? That is, what is P(F ∩ B)?