SOLUTION: Hello, I'm Alex. Could I please ask your assistance on this Homeschool American School Problems because I don't have a teacher here to help? Suppose there are 10 items on a tru

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Question 63652This question is from textbook Algebra and Trigonometry Structure and Method
: Hello, I'm Alex. Could I please ask your assistance on this Homeschool American School Problems because I don't have a teacher here to help?
Suppose there are 10 items on a true-false test. The person taking the test does not read the questions; he just answers them randomly. What is the probability of his guessing all answers correctly?
This question is from textbook Algebra and Trigonometry Structure and Method

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Hi Alex,
Suppose there are 10 items on a true-false test. The person taking the test does not read the questions; he just answers them randomly. What is the probability of his guessing all answers correctly?
There is a 1/2 chance of getting each one right:
(1/2)(1/2)(1/2)(1/2)(1/2)(1/2)(1/2)(1/2)(1/2)(1/2)
(1/2)^10=1/1024
If you need it in decimal form: .0009765625
Happy Calculating!!!