Odd multiples of 3 up to 2023

Question

Among the integers $1,2,\dots,2023$ , how many are both odd and multiples of $3$ ?

Short answer

337. Odd multiples of $3$ are $3,9,15,\dots$ , i.e. $6k-3$ . We need $6k-3\le2023$ , so $k\le337.67$ , giving $337$ numbers (the last is $2019$ ).

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Lessons behind this question

Counting and Combinatorics
Sample Spaces, Events, and the Probability Axioms
Conditional Probability, Total Probability, and Bayes' Rule

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