Home › BAF (Bachelor of Accounting & Finance) › Business Statistics › Probability Topics › Drawing two marbles without replacement from thr…
Drawing two marbles without replacement from three red and eight blue, what is the probability that both are blue?
AIt is 64/121
BIt is 48/110
CIt is 56/110
DIt is 64/110
Answer & Solution
Correct answer: C. It is 56/110
1. The first draw gives blue with probability 8/11.
2. That marble is not replaced, so seven blue marbles remain among ten.
3. The second draw gives blue with probability 7/10, and multiplying gives 56/110.
4. The value 64/121 assumes replacement, which would leave all eight blue marbles in the urn.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.4 Contingency Tables and Probability Trees_
Related questions
An experiment whose result is not predetermined is called a:A conditional probability differs from an ordinary one because the count is divided by:On a fair six-sided die, the outcome of any one face is:A sample space can be represented by listing outcomes, by a Venn diagram, or by a:Sampling without replacement makes successive picks dependent because:Sampling with replacement means each member picked:Two events are independent when the outcome of the first:Independent and mutually exclusive are terms that: