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Felicity enrols in speech with probability 0.65, and in maths given speech with probability 0.25. What is the probability she enrols in both?
AThe probability is 0.1300
BThe probability is 0.1625
CThe probability is 0.2000
DThe probability is 0.4000
Answer & Solution
Correct answer: B. The probability is 0.1625
1. The multiplication rule gives the joint probability as P(speech) times P(maths given speech).
2. That is 0.65 multiplied by 0.25.
3. The product is 0.1625, so she enrols in both with probability 0.1625.
4. The value 0.1300 comes from multiplying 0.65 by 0.20, which uses the plain probability of maths instead of the conditional.
_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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