Question

Ben and his three sisters are competing to see who gets home first from their grandmother's

house. There are four different routes from her house back to their home in Garland. Ben
chooses Route 1. What are the possible outcomes of the routes taken by the family if Ben
chooses first? Label that set S.

Answer 1

Answer: {Route2, Route3, Route4} (Total 3 outcomes)

Explanation:

Given: There are 4 different routes from Ben's house back to their home in Garland.

Let Sample space for all outcomes: {Route1, Route2, Route3, Route4 }

Ben chooses Route 1.

The possible outcomes of the routes taken by the family if Ben chooses first:

{Route2, Route3, Route4}

Hence, the possible outcomes of the routes taken by the family if Ben chooses first: {Route2, Route3, Route4} (Total 3 choices)