Question

When planning a cruise, you have a choice of 2 destinations: Cozumel (C) or Jamaica (J); a choice of 3 types of rooms: balcony (B), inside view (I), or ocean view (O); and a choice of 2 types of excursions: water sports (W) or horseback riding (H). If you are choosing only one of each, list the sample space in regard to the vacations (combinations of destinations, rooms, and excursions) you could pick from.

Answer 1

Given:

When planning a cruise:

you have a choice of 2 destinations: Cozumel (C) or Jamaica (J)

and a choice of 3 types of rooms: balcony (B), inside view (I), or ocean view (O)

and a choice of 2 types of excursions: water sports (W) or horseback riding (H)

We will list the sample space in regard to the vacations

First, we will draw the tree diagram

The tree diagram will be as shown in the following figure:

So, there are 12 outcomes you could pick from.

The sample space will be as follows:

CBW, CBH, CIW, CIH, COW, COH

JBW, JBH, JIW, JIH, JOW, JOH