Answer to Question #58950 in Statistics and Probability for ABJ

Question

1. If a woman has 10 blouses, 6 skirts and 4 pairs of shoes, in how many ways can she choose two dresses and two pairs of shoes assuming any combination of blouse, skirt and pair of shoe matches
2. Let A and B be any two events defined on the same sample spaceSuppose P(A) = 0.3 and P(A U B) = 0.6. Find P(B) such that A and B are mutually exclusive.
3. A group of students consist of 4 men, 6 women and 5 transgender The students are ranked according to their performance in a quiz competition. Assuming no two students obtain the same score, how many ranking are possible if each category of students are ranked among themselves?
4. A certain shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P(A)= 0.6 and P(B) =0.05. What is P(P|A)?