Question

A person speaks the truth 2 out of 3 times. He throws a dice and reports that the outcome is. The probability that it is actually a 6 is -

a-1/6
b-1/3
c-1/2
d-1/4

Answer 1

The probability that the person is actually telling the truth when they report a six is 2/3.

Step-by-step explanation:

To find the probability that the person is telling the truth when they report a six, we need to consider the information given. The person speaks the truth 2 out of 3 times, so they are correct twice out of every three times they speak. We can use this information to calculate the probability.

Let's assume there are 6 possible outcomes when rolling a dice, numbers 1 to 6. Since the person speaks the truth 2 out of 3 times, we can say that the person will report a six correctly in 2 out of every 3 times that they report a six. This means that the probability that they are actually telling the truth when they report a six is 2/3.