Question

A man starts at the point O on the map below. He chooses a path at random and follows it to point B1, B2, or B3. From that point, he chooses a new path at random and follows it to one of the points A1 – A7. Suppose the man arrives at point A4, but it is not known which route he took, what is the probability that he passed through each of the three points: B1, B2, B3? Calculate each one.

Answer 1

Answer: 1 / 27

Step-by-step explanation: p (B1) = 1 / 3

p (B2) = 1 / 3

p (B3) = 1 / 3

pro (B1 X B2 X B3) = 1 / 3 X 1 / 3 X 1 / 3 = 1 / 27