This man is speaking the truth

A man is known to speak the truth 2 out of 3 xx.He throws a die and reports that it is a six.Then the probability that it is actually a six is

A man is known to speak the truth 2 out of 3 xx.He throws a die andreports that it is six. Then the probability that it is actually '5'

A man is known to speak the truth 3 out of 4 times. He throws a die and reports that it is an even number. Find the probability that is actually even.

A man is known to speak the truth 3 out of 5 times. He throw a die and reports that it is 1. Find the probability that it is actually 1.

A man is known to speak the truth 3 out of 5 times.He throw a die and reports that it is ' 1 '.Find the probability that it is actually 1 .

Often it is taken that a truthful person commands more respect in the society. A man is known to speak the truth 4 out of 5 times. He throws a die and reports that it is a six. Find the probability that it is actually a six.

(i) A man is known to speak the truth 3 out of 4 times. He throws a die and reports that it is 6. Find the probability that it is actually a 6. (ii) A man is known to speak the truth 3 out of 5 times. He throws a die and reports that it is number greater than 4. Find the probability that it is actually a number greater than 4.