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Carlos scores on each attempt with probability 0.65 and scores on both with probability 0.585. What is the probability he scores on the first or the second?
AThe probability is 1.300
BThe probability is 0.423
CThe probability is 0.650
DThe probability is 0.715
Answer & Solution
Correct answer: D. The probability is 0.715
1. The addition rule is P(A) plus P(B) minus P(A and B).
2. The two separate probabilities are 0.65 each, adding to 1.30.
3. The joint probability of scoring both is 0.585.
4. Subtracting gives 1.30 minus 0.585, which is 0.715.
5. Stopping at 1.30 leaves a value above one, which no probability may take.
6. The value 0.423 is the product of the two probabilities and answers a different question.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.3 Two Basic Rules of Probability_
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