The odds in favor of Carl besting his friend in a round of golf are 8 : 7 find the probability that Carl will beat his friend.
To find the probability that Carl will beat his friend, we need to convert the odds into a probability.
The odds in favor of Carl besting his friend are given as 8:7. This means that out of every 8 favorable outcomes for Carl, there are 7 favorable outcomes for his friend.
To convert these odds into a probability, we add the two numbers together (8 + 7 = 15) and divide the number of favorable outcomes for Carl (8) by the total number of outcomes (15).
So, the probability that Carl will beat his friend can be calculated as follows:
P(Carl winning) = Number of favorable outcomes for Carl / Total number of outcomes
P(Carl winning) = 8 / 15
Hence, the probability that Carl will beat his friend is 8/15 or approximately 0.5333.