Question

When planning a cruise, you have a choice of 3 destinations: Cozumel (C), Jamaica (J), or Grand Caymans (G); a choice of 2 types of rooms: balcony (B) or inside view (I); and a choice of 3 types of excursions: water sports (W), horseback riding (H), or parasailing (P). 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

There are a total of 3 choices for destination, 2 choices for rooms and 3 choices for excursion.

Thus, the total no. of combinations (vacations) possible = 3*2*3 = 18

Now, we need to list the sample space in regard of the vacations. We can find it by listing all the possible combinations of destinations (C, J or G), types of rooms (B or I) and type of excursion (W, H or P).

Thus, the sample space is given by:
S = {CBW, CBH, CBP, CIW, CIH, CIP, JBW, JBH, JBP, JIW, JIH, JIP, GBW, GBH, GBP, GIW, GIH, GIP} [ANSWER]

where CBW represents a vacation with destination Cozumel, a room with balcony and water sports as excursion and other points in the sample space are defined similarly.

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