The following Venn diagram describes the results of a survey of 500 Dallas students, asking whether they would prefer to visit Houston or San Antonio, and whether they would take a bus or fly. 280 people chose to take a bus. 220 chose to fly. 205 people chose Houston, and 295 people chose San Antonio. What is the probability that a survey participant answered that they would prefer to take a bus to San Antonio?
a. 0.56
b. 150
c. 30
d. 0.30
To find the probability that a survey participant answered that they would prefer to take a bus to San Antonio, we need to find the intersection of the set of people who chose San Antonio and the set of people who chose to take a bus.
From the diagram, we can see that 295 people chose San Antonio and 280 people chose to take a bus.
Therefore, the number of people who chose both San Antonio and to take a bus is the smaller of the two numbers, which is 280.
To find the probability, we take the number of people who chose both San Antonio and to take a bus (280) and divide it by the total number of survey participants (500).
Therefore, the probability that a survey participant answered that they would prefer to take a bus to San Antonio is 280/500 = 0.56.
So the correct answer is a. 0.56.