Home › BAF (Bachelor of Accounting & Finance) › Business Statistics › Probability Topics › English has probability 0.75, speech 0.3, and bo…
English has probability 0.75, speech 0.3, and both together 0.225. What is the probability of speech given English?
AThe probability is 0.75
BThe probability is 0.30
CThe probability is 0.17
DThe probability is 0.23
Answer & Solution
Correct answer: B. The probability is 0.30
1. The conditional is the joint probability divided by the probability of the condition.
2. That gives 0.225 divided by 0.75.
3. The result is 0.30, which equals the plain probability of taking speech.
4. Because the conditional matches the plain probability, the two classes are independent of each other.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.2 Independent and Mutually Exclusive Events_
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: