in an examination in an objective test there are two sections containing 10 questions each.In section 1,each objective question has 5 choices and only one choice is correct.Section 2 has 4 choices for each question and more than one choice may be correct.Marks for section 2 is awarded only if a student gives all choices correct.There is no negative marking for any section.For each question in section1 and section 2, 1 and 3 marks are will be awarded respectively.

 

1. if a student attempts only two questions,one from section 1 and the other from section 2, then what is the probability that he is awarded marks in both questions?

 

2.what is the probability of getting marks less than 40 for a student ?

 

3. if a student attempts 4 questions, 2 from each section,then what is the probability that he gets 4 marks ?

 

4.if a student attempts all the questions then what is the probability that he gets 5 marks in section 1 and 15 in section 2?