There are 10 questions on a true/false test and someone is answering randomly, what are the chances they will?

There are 10 questions on a true/false test and the person is answering each question randomly, what is the probability he will answer them all correctly?There are 10 questions on a true/false test and someone is answering randomly, what are the chances they will?
First question: probability is 1/2 (1 correct out of 2 options)


Second question... same.





So, you multiply the probabilities of each question. In this case, you'll multiply (1/2) times itself 10 times.





(1/2)^10 = 1/1024There are 10 questions on a true/false test and someone is answering randomly, what are the chances they will?
P(all 10 correct) = P(getting #1 correct) * P(getting #1 correct) * P(getting #3 correct) etc. For a given question, the probability of answering correctly is 1/2. So the answer is


(1/2)^10 = 1/1024
1/1024 or 1 out of 1024 times which is (1/2)^10
1 / 2^10 = 1 / 1024.
well theres a 50% chance of them each of the problems right, so altogether he has a 50% chance of getting all of the questions right b/c either he gets them all wrong or all right. i think thats the correct answer.