Carlos scores each of two attempts with chance 0.65, and scores both with chance 0.585. What is the chance he scores at least one?
A1.300
B0.065
C0.845
D0.715
Answer & Solution
Correct answer: D. 0.715
1. At least one means the first or the second or both.
2. The rule for or adds the two chances, then removes the overlap counted twice.
3. Add 0.65 and 0.65 to get 1.30.
4. The overlap is the chance of both, which is 0.585.
5. Subtract 0.585 from 1.30.
6. 1.30 minus 0.585 is 0.715.
7. Answering 1.300 forgets to remove the overlap, and no chance can exceed one.
8. Answering 0.065 subtracts the two given chances from each other, which the rule never asks for.
_Source: OpenStax High School Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics" and Ch 3 "Probability Topics", section 3.3 Two Basic Rules of Probability_
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