How many persons responded to the survey? One person is chosen at random. What is the probability that the person likes running and cycling?
Answer (1)
Number of respondents: 100 persons.Probability P = Number who like running and cyclingTotal respondents=30 x 100=0.3P = [tex]\frac{\text{Number who like running and cycling}}{\text{Total respondents}}[/tex] = [tex]\frac{30}{100} = 0.3P=Total respondents[/tex]The probability is 0.3 or 30%.Probabilities always range between 0 and 1. A result of 0.3 means that if we pick one person at random, there is a 30% chance they like both activities. This type of problem is common in surveys and statistics when analyzing preferences or overlaps between groups.
