Home › BAF (Bachelor of Accounting & Finance) › Business Statistics › Probability Topics › For S = {1, 2, 3, 4, 5, 6} and A = {1, 2, 3, 4},…
For S = {1, 2, 3, 4, 5, 6} and A = {1, 2, 3, 4}, what is the complement of A and its probability?
AA prime is {5, 6} with probability 2/6
BA prime is {5, 6} with probability 4/6
CA prime is {1, 2} with probability 2/6
DA prime is {4, 5, 6} with probability 3/6
Answer & Solution
Correct answer: A. A prime is {5, 6} with probability 2/6
1. The complement of A holds every outcome of the sample space that is not in A.
2. The sample space runs 1 to 6 and A holds 1 to 4, so the complement holds 5 and 6.
3. Two outcomes out of six give a probability of 2/6.
4. That checks out, since 4/6 for A plus 2/6 for its complement adds to one.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.1 Terminology_
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: