Home › BAF (Bachelor of Accounting & Finance) › Business Statistics › Probability Topics › Q and R are independent events with P(Q) = 0.4 a…
Q and R are independent events with P(Q) = 0.4 and P(Q and R) = 0.1. What is P(R)?
AIt equals 0.25
BIt equals 0.04
CIt equals 0.50
DIt equals 0.30
Answer & Solution
Correct answer: A. It equals 0.25
1. Independence means the joint probability is the product of the two separate probabilities.
2. So 0.1 equals 0.4 multiplied by P(R).
3. Dividing 0.1 by 0.4 gives P(R) equal to 0.25.
4. Multiplying 0.4 by 0.1 instead gives 0.04 and answers a question that was not asked.
_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: