Question

There are 10 true/false questions on a test. you do not know the answer to 4 of the questions, so you guess what is the probability that you will get all 4 answers right?

please explain how you got your answer :(

Answer 1

1/16

Explanation:

Of the 16 ways you can answer the 4 questions, only one of those ways has all answers correct.

Each question can be answered 2 ways, and the answer to each one is independent of the answer to any other. So, there are 2·2·2·2 = 2^4 = 16 ways to answer the 4 questions.