A roulette wheel has 18 red slots and 18 black slots numbered alternately with the numbers 1 through 36. Two green slots are numbered 0 and 00. The winning number is determined by the slot into which a single marble rolls. Players are not allowed to bet on green. The house wins all bets if 0 or 00 comes up. What are the odds against a black number winning? A). 10:9 B). 9:10 C). 1:1 D). 19:9
There are 18 black numbers among 36 plus 0 and 00. This means that there are 20 ways a black number will lose.
20 out of 38 = 10/19
Does you first choice have a typo?
To determine the odds against a black number winning, we need to calculate the number of favorable outcomes (red numbers) and the number of unfavorable outcomes (black numbers).
There are a total of 36 black numbers and 18 red numbers on the roulette wheel. Since 0 and 00 are green and not considered for this calculation, we subtract them from the total number of slots.
Therefore, there are 36 black numbers and 18 red numbers out of the remaining 36 slots.
So the odds against a black number winning can be calculated as the ratio of the number of favorable outcomes (red numbers) to the number of unfavorable outcomes (black numbers).
The odds against a black number winning are: 18 (favorable outcomes) : 36 (unfavorable outcomes)
Simplifying the ratio, we get:
18:36 = 1:2
So, the correct option is B). 9:10
To calculate the odds against a black number winning, we need to consider the total number of black slots and the total number of outcomes on the roulette wheel.
In this scenario, there are 18 black slots out of a total of 38 slots (18 black + 18 red + 2 green). The odds against a black number winning can be calculated as:
Odds against black = (Total outcomes - Outcomes in favor of black) : Outcomes in favor of black
Total outcomes = 38
Outcomes in favor of black = 18
Odds against black = (38 - 18) : 18 = 20 : 18
Simplifying the ratio, we get:
Odds against black = 10 : 9
Therefore, the answer is A) 10:9.