A man is known to speak the truth 3 out of 4 times. He throws a die and reports it is a six. The probability that it is actually a six, is
Bonus : Bayes' theorem
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only thing to take care is when he is telling a lie. suppose he rolled the die and it came 2. now his lie could be 5 options namely 1 3 4 5 and 6. so for him to choose 6 as a lie we have to multiply by a 1/5. and the rest remains the same. just apply baye to get the qnswer as 3/4