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An urn holds three red and eight blue balls, and two are drawn with replacement. What is the probability that both are red?
AIt is 6/110
BIt is 3/121
CIt is 24/121
DIt is 9/121
Answer & Solution
Correct answer: D. It is 9/121
1. With replacement the first ball goes back, so both draws face the same 11 balls.
2. Each draw gives red with probability 3/11.
3. Multiplying gives 3/11 times 3/11, which is 9/121.
4. The value 6/110 is the answer without replacement, where the second draw faces only ten balls.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.4 Contingency Tables and Probability Trees_
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