The following procedure was used in a survey of cheating on taxes. A taxpayer is selected at random among all Oregon taxpayers to be a subject in the...

The following procedure was used in a survey of cheating on taxes. A taxpayer isselected at random among all Oregon taxpayers to be a subject in the survey. Thesubject is given a six-sided die with 4 green sides and 2 red sides, and is given thefollowing instructions:{ Roll the die (the outcome of the roll is not seen by anyone except the subject);{ If the outcome is green, say Yes" if you cheated on your Oregon tax return lastyear, and say No" if you did not;{ If the outcome is red, say Yes".(a) Suppose that 20% of Oregon taxpayers cheated last year. If a subject says Yes",what is the probability that he/she cheated on last year's Oregon tax return?