The odds in favor of a horse winning a race are posted as 6 : 5. Find the probability that the horse will lose the race.
its 5/11
To find the probability of the horse losing the race, we can calculate the ratio of the odds against the horse winning.
The odds in favor of the horse winning are given as 6 : 5. This means that for every 6 chances of the horse winning, there are 5 chances of it losing.
To calculate the ratio of the odds against the horse winning, we can flip the ratio. This gives us the ratio of 5 : 6, indicating that for every 5 chances of the horse losing, there are 6 chances of it winning.
To find the probability of the horse losing, we need to normalize the ratio by dividing each value by the sum of the ratio (5 + 6 = 11).
Probability of the horse losing = 5 / 11 ≈ 0.4545
Therefore, the probability that the horse will lose the race is approximately 0.4545 or 45.45%.
To find the probability that the horse will lose the race, we need to first understand what the odds "6:5" mean.
In odds notation, such as "6:5", the numbers on either side of the colon represent the ratio of the number of favorable outcomes to the number of unfavorable outcomes.
In this case, the odds are 6:5 in favor of winning. This means that for every 6 possible favorable outcomes (winning), there are 5 possible unfavorable outcomes (losing).
To calculate the probability of losing, you need to determine the total number of outcomes. In this case, the total number of outcomes is the sum of the favorable and unfavorable outcomes.
Let's assume there are a total of 6 + 5 = 11 possible outcomes.
The probability of losing can be calculated by dividing the number of unfavorable outcomes (5) by the total number of outcomes (11):
Probability of losing = Number of unfavorable outcomes / Total number of outcomes
Probability of losing = 5 / 11
Therefore, the probability that the horse will lose the race is approximately 0.4545, or 45.45%.