need answer for II ,III ,IV and v

II- Consider an experiment of rolling a die once. Let A be the event of odd numbers and B is the event of the numbers less than 4 , find the following: 1- Sample space S, the events: A,AC,B,BC,AB,ABC,AB. 2. P(A),P(B),P(BC),P(AB),P(ABC),P(AB),P(BA),P(BAC) III- In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and 35 studied both mathematics and history. If one of these students is selected at random, find the probability that (a) the student take mathematics or history; (b) the student take history but not mathematics; (c) the student does not take history if he took mathematics. IV- A random sample of 200 adults are classified below by gender and their level of education. If a person is picked at random from this group, find the probability that 1. the person is a male. 2. the person has a elementary education. 3. the person is male and has a college degree. 4. the person is male or has a college degree. 5. the person is a male, given that the person has a secondary education. 6. the person does not have a college degree, given that the person is a female. V- If A, B and C three events make partitions for sample space S and D any event in S such that P(A)=0.35,P(DA)=0.01,P(B)=0.1,P(DB)=0.02,P(C)=0.55P(DC)=0.01 Find P(D),P(BD)