N a city, 49% of the adults are male. 24% of the adults are male and rent action-movie DVDs, and 10% of the adults are female and rent action-movie DVDs. If an adult is randomly selected for a survey, what is the probability that the adult rents action-movie DVDs, given that the adult is female?

Question

Emily Alvarado

Mathematics

10 July, 02:07

N a city, 49% of the adults are male. 24% of the adults are male and rent action-movie DVDs, and 10% of the adults are female and rent action-movie DVDs. If an adult is randomly selected for a survey, what is the probability that the adult rents action-movie DVDs, given that the adult is female?

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Julian Bauer · Answer 1

Let's assume that since 49% of the adults in the city are males, then the rest of the population (which is 51%) are females. This means that 51 adults out of 100 (hypothetically) are females. Since the percentage of adult females who rent action-movie DVDs is 10% and there are 51 females in the city, then it should come at a ratio of 10/51.

Thus, the answer is that the probability of an adult female who rents action-movie DVD getting picked in the sample is. 1961 or. 20 (that's 20%) of the whole population in the city.