Question

Multiple choice. You take a quiz with 6 multiple-choice questions. After you studied, you estimated that you would have about an 80% chance of getting any individual question right. What are your chances of getting them all right

Answer 1

Answer:

.262144, or about 26%

Step-by-step explanation:

Use what people call the Multiplication Principle.  If there are two independent events--the outcome of one does not affect the outcome of the other--multiply their probabilities to find the probability of both occurring.

The questions are independent -- answering one question does not affect the answer to any other question.

The chance of answering all 6 questions correctly is

$(.8)\times(.8)\times(.8)\times(.8)\times(.8)\times(.8)=(.8)^6$