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Of 50 statistics students, 20 are first years, 15 earn a B and five are both. What is the probability of a first year or a B grade?
AThe probability is 0.70
BThe probability is 0.10
CThe probability is 0.40
DThe probability is 0.60
Answer & Solution
Correct answer: D. The probability is 0.60
1. The probability of a first year is 20 divided by 50, which is 0.40.
2. The probability of a B grade is 15 divided by 50, which is 0.30.
3. The joint probability is 5 divided by 50, which is 0.10.
4. The addition rule gives 0.40 plus 0.30 minus 0.10, which is 0.60, while 0.70 would forget the subtraction.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.5 Venn Diagrams_
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