A roulette wheel has 38 slots, numbered 0,00, and 1 to 36. The slots 0 and 00 ar

Question

A roulette wheel has 38 slots, numbered 0,00, and 1 to 36. The slots 0 and 00 are colored green, 18 of the others are red, and 18 are black. The dealer spins the wheel and at the same time rolls a small ball along the wheel in the opposite direction. The wheel is carefully balanced, so that the ball is equally likely to land in any slot when the wheel slows down. Gamblers can bet on various combinations of numbers and colors. True or false: The probability of each of the 38 outcomes is 1/38. True False Fill in the blank: If you bet on red, you win if the ball lands in a red slot. The probability of winning is _ (Give your answer to three decimal places.) Fill in the blank: The slot numbers are laid out on a board on which gamblers place their bets. One column of numbers on the board contains all multiples of 3, which are 3, 6, 9, 36. You place a column bet that wins if any of these numbers comes up. The probability of winning is _ (Give your answer to three decimal places.)

Explanation / Answer

There are total 38 slots available. Hence probability of selecting any of these slot is 1/38.
Hence the given statement is true.

There are total 18 red slots that can be selected. Hence probability of winning after one bet on red is 18/38 = 9/19

There are total 12 numbers which are multiples of 3. Hence probability of winning is 12/38 = 6/19

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