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When planning a cruise, you have a choice of 2 destinations: Cozumel (C) or Jamaica (J); a choice of 4 types of rooms: balcony (B), inside view (I), ocean view (O), or suite (S); 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.

Respuesta :

Given

There are 2 options for a destination: Cozumel (C) or Jamaica (J)

There are 4 types of rooms : Balcony (B), Inside View (I), Ocean View (O), Suite (S)

There are two types of excursions : Water sports (W) or Horseback (H)

The sample space is a combination of all the available options and can be calculated using the formula:

[tex]\begin{gathered} Sample\text{ space = Number of options for A }\times\text{ Number of options for B }\times \\ Number\text{ of options C} \end{gathered}[/tex]

Applying the formula:

[tex]\begin{gathered} Sample\text{ space = 2 }\times\text{ 4 }\times\text{ 2} \\ =\text{ 16 } \end{gathered}[/tex]

The list of the combinations is shown below:

CBW, CBH, CIW, CIH , COW, COH, CSW, CSH, JBW, JBH, JIW, JIH, JOW, JOH, JSW, JSH

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