The odds against an event are 48:42
what is the probability that the event will occur?
To determine the probability that the event will occur, you need to convert the odds against the event into a probability. The odds against an event can be written as a ratio of the number of unfavorable outcomes (or failures) to the number of favorable outcomes (or successes). In this case, the odds against the event are given as 48:42.
To calculate the probability, you need to add the number of unfavorable and favorable outcomes together to find the total number of possible outcomes. In this case, the total number of possible outcomes is 48 (unfavorable) + 42 (favorable) = 90.
To find the probability, divide the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
So, the probability that the event will occur is 42 (favorable outcomes) / 90 (total outcomes). Simplifying this gives us:
Probability = 42/90 = 0.4667, or approximately 46.67%.
Therefore, the probability that the event will occur is approximately 46.67%.