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Set #1 = {H, I, N, S }
Set #2 = {A, E, O, T}
Set #3 = {D, L, R, U}
If we make one pick from Set #1 for our first letter, one from Set #2 for our second letter, and one from Set #3 for our third letter, what is the probability that our three-letter "word" will be of the form consonant-vowel-consonant?
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This is an example of a problem we solve with counting techniques. First, we count the total choices, using the Fundamental Counting Principle:
That's our denominator. Now, count the "words" that meet the condition: three consonants in the first, three vowels in the second, and three consonants in the third:
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