Red (wins on any of the 18 red numbers) or black (wins on any of the 18 black numbers)

The casino game roulette. In this game, the dealer spins a marble around a wheel that contains 38 pockets that the marble can fall into. Each pocket has a number (each whole number from 0 to 36, along with a double zero) and a color ( 0 and 00 are both green; the other 36 numbers are evenly divided between black and red). Players make bets on which number (or groups of numbers) they think the marble will land on. The figure shows the layout of the numbers and colors, as well as some of the bets that can be made.

What is the probability of winning at least one of the following pairs of bets on a single spin of the wheel?

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1st Dozen 1 to 18 EVEN 2nd Dozen 3rd Dozen ODD 19 to 36 0 00 1 2 3 45 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 2 to 12 to 12 to 1 Roulette Table (credit: "American Roulette Table Layout" by Film8ker/Wikimedia Commons, Public Domain)