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Among 130 musicians, 58 are male and 15 of those had private instruction. What is the probability of being male and having had private instruction?
AIt is 15/130
BIt is 15/58
CIt is 37/130
DIt is 58/130
Answer & Solution
Correct answer: A. It is 15/130
1. The word and signals a joint probability rather than a conditional one.
2. The cell for male musicians with private instruction holds 15 people.
3. A joint probability divides by the grand total, which is 130 musicians, giving 15/130.
4. Dividing by 58 would answer the conditional question of private instruction given that the musician is male.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.5 Venn Diagrams_
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