Question

three highways connect city A with city B.two highways connect city B with city C.during rush hours,each highway is blocked by a traffic accident with probability 0.2,independently of other highways.
(a) compute the probability that there is atleast one open route from A to C.

Answer 1

P(me knowing how to do this) = 0

Answer 2

P(at least one open route from A to C) = 1-P( no open route from A to C)

P( no open route from A to C) = P( (no open route from A to B)U(no open route from B to C)

= (0.2)^3 + (0.2)^2 = 0.048

P(at least one open route from A to C) = 1-0.048=0.952

Answer 3

thank you.well explained :)

Answer 4

my pleasure :)