A woman was accused of killing someone in her town due to a blood type match. The blood type is a rare variant that is present only in 0.1% of the entire population. If the population of her town is 5,000, what are the chances that she is the killer?Group of answer choices0.16660.110.20.50.01
Question
A woman was accused of killing someone in her town due to a blood type match. The blood type is a rare variant that is present only in 0.1% of the entire population. If the population of her town is 5,000, what are the chances that she is the killer?Group of answer choices0.16660.110.20.50.01
Solution
The question is asking for the probability that the woman is the killer based on the blood type match.
First, we need to find out how many people in the town have the same rare blood type.
Given that the blood type is present in 0.1% of the population, and the population of the town is 5,000, we can calculate the number of people with the same blood type as follows:
0.1% of 5,000 = 0.001 * 5,000 = 5 people
This means that 5 people in the town, including the woman, have the same rare blood type.
Therefore, the chances that she is the killer, based solely on the blood type match, is 1 out of 5, or 0.20 (20%).
So, the correct answer from the given choices is 0.20.
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