a) The probability of selecting an adult with a broken foot is 7/58. b) The probability of selecting an adult, given that they had a broken foot, is 7/12.
To determine the probability of randomly selecting a person with a specific condition from the hospital data, we can use the concept of conditional probability.
a) Probability of selecting an adult with a broken foot:
P(Adult and Broken Foot) = Number of Adults with Broken Foot / Total Number of People
P(Adult and Broken Foot) = 7 / (15 + 7 + 3 + 20 + 5 + 8)
P(Adult and Broken Foot) = 7 / 58
b) Probability of selecting an adult given they had a broken foot:
P(Adult | Broken Foot) = Number of Adults with Broken Foot / Total Number of People with Broken Foot
P(Adult | Broken Foot) = 7 / (7 + 5)
P(Adult | Broken Foot) = 7 / 12