A surgical procedure requires choosing among four alternative methodologies. The

Question

A surgical procedure requires choosing among four alternative methodologies. The first can result in six possible outcomes, the second in two possible outcomes, and the remaining methodologies can each result in three possible outcomes. What is the total number of outcomes possible? HINT [See Quick Example on page 418.]
outcomes

An experiment requires a sequence of three steps. The first step can result in five possible outcomes, the second in six possible outcomes, and the third in four possible outcomes. What is the total number of outcomes possible? HINT [See Quick Example on page 419.]
outcomes

Alternative 1: Alternative 2:     Step 1: 1 outcome     Step 1: 4 outcomes     Step 2: 3 outcomes          Step 2: 5 outcomes     Step 3: 1 outcome

Explanation / Answer

These four alternatives are completely independent, so if each possible outcome is unique, the total number is the sum of all the possibilities = 6 + 3 + 4 + 4 = 17.

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