an experiment has three steps with three outcomes possible for the first step, two outcomes possible for the second step, and four outcomes possible for the third step. how many experimental outcomes exist for the entire experiment?
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An experiment has three steps with three outcomes possible for the first step, two outcomes possible for the second step, and four outcomes possible for the third step. How many experimental outcomes exist for the entire experiment?
Explanation
Verified
\textbf{Fundamental counting principle}
Fundamental counting principle: If the first event could occur in
m
m ways and the second event could occur in
n
n ways, then the number of ways that the two events could occur in sequence is
m\cdot n m⋅n.
The experiment consists of three steps, where there are 3 possible outcomes for the first step, 2 possible outcomes for the second step, and 4 possible outcomes for the third step.
First step: 3 ways Second step: 2 ways
Third step: 4 outcomes
Use the fundamental counting principle:
3\cdot 2\cdot 4=6\cdot 4=24
3⋅2⋅4=6⋅4=24
Thus there exist 24 experimental outcomes for the entire experiment.
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Answer: 3*2*4=24 -----------
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Hi there,
Thank you for your question and for using JustAnswer. I am glad to help you solve this.
Answer: 3*2*4=24 -----------
My goal is to provide you with excellent service. If you're satisfied with my assistance, your 5-star rating at this time is appreciated. If you have any further questions, don't hesitate to ask!
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An experiment has three steps with three outcomes possible for the first step, two outcomes possible for the second step, and four outcomes possible for the third step. How many experimental outcomes exist for the entire experiment?
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