Probability problem

intermediate(ipc)course (no) (1460 Points)

28 July 2012  

1. x & y stand in a line with 6 other people.what is the probability that there are 3 persons between them ? ans is 1/7,how?

2. four digits 1,2,4 & 6 are selected at random to form a four digit number.what is the probability that the number so formed,would be divisible by 4? ans is 1/3,how?

3. a packet of 10 electronic components is known to include 3 defectives.if 4 components are selected from the packet at random,what is the expected value of the number of defective? ans is 1.20,how?