Person 1 3p A 4p B 5p Person 2 C D 2:30p 3:30p 4:30p

You are trying to find a time when two people can meet.

QuestionQuestion: A person in India and a person in the UK are trying to schedule a one-hour meeting. In India, time zones are offset by half an hour relative to time zones in the UK. 

All times in the figure are in India Standard Time. Notice that Person 2 is in the UK and can't meet before 2:30p because it would be too early in their local time.

The two people can only meet if blocks A, C, and D are all free, or if blocks A, B, and D are all free. Each block still has p=0.75 probability of being busy for each person. We still assume that whether each block is busy for a person is independent of whether other blocks are busy for them, and also independent of whether that block is busy for other people. What is the probability that the two people will be able to meet? Present your answer to at least three significant digits.