(If your numerical answer is NOT an integer, put it in percentage and rounded to 2 decimal places. For example, if the answer is 0.22575 , you have to put 22.58% in the box. DO NOT FORGET TO PUT THE PERCENT (%) SIGN AT LAST. Putting only 22.58 without the trailing percent sign will be assessed as a wrong answer! You must NOT type any other symbol, space, operator, fraction etc in the box.) a. Assume that a bag contains 5 black, 4 blue balls. 2 balls are drawn randomly one after another to note the color only ( repetition is allowed ). What is the probability that the second ball is blue? . b. Two people have tried robbing in a government office in Bangladesh. They were about to be trapped but escaped successfully. To find the real robber, the RAB arranged a lie detector test for 50 people who were claiming that they are guiltless. Suppose that the probability of detection of not innocent people is 0.90 and guiltless people seem to be guilty with the probability 0.01. What is the probability Mr. X is guilty given that the test says he is not ?