A certain virus afflicted the families in three adjacent hou

A certain virus afflicted the families in three adjacent houses in a row of 12 houses. If houses were randomly chosen from a row of 12 houses, what is the probability that the three houses would be adjacent? (Round your answer to three decimal places.)

Solution

There are 12C3 = 220 ways to choose any 3 houses.

Also, there are 10 ways so that the three houses are adjacent.

Hence,

P(adjacent) = 10/220 = 0.045454545 = 0.045 [ANSWER]