SOLUTION: A True/False test has 10 questions. If you randomly fill in the answer blanks with T or F, what is the probability you will get at least one of the them correct?

Algebra ->  Probability-and-statistics -> SOLUTION: A True/False test has 10 questions. If you randomly fill in the answer blanks with T or F, what is the probability you will get at least one of the them correct?      Log On


   

Question 582109: A True/False test has 10 questions. If you randomly fill in the answer blanks with T or F, what is the probability you will get at least one of the them correct?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
There are 2^10 = 1024 ways to answer the test.

Only one way has you getting them all wrong.

So the P(Getting None Correct) = 1/1024

Therefore,

P(Getting At Least One Correct) = 1 - P(Getting None Correct)

P(Getting At Least One Correct) = 1 - 1/1024

P(Getting At Least One Correct) = 1023/1024