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(1) Three options for meat and three independent options for vegetable.
In all, 3 * 3 = 9 different outcomes are possible.
(the fundamental counting principle).
(2) Your favorite combination is one specific of 9 possible.
The probability is .
Solved.
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On fundamental counting principle, see the lesson
- Fundamental counting principle problems
in this site.
The referred lesson is the part of this online textbook under the topic "Combinatorics: Combinations and permutations".
Save the link to this textbook together with its description
Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson
into your archive and use when it is needed.