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
[tex](.8)\times(.8)\times(.8)\times(.8)\times(.8)\times(.8)=(.8)^6[/tex]