SOLUTION: on an eight question true -false quiz a student guesses at each answer without even reading the question. what is the probability that he gets at least one of the answers correct

Question 667035: on an eight question true -false quiz a student guesses at each answer without even reading the question. what is the probability that he gets at least one of the answers correct
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
Whenever you see the word "at least" think about the complement. It is much easier to calculate the probability of "none" than "all other possibilities". What is the probability that you get no answers right at all?
P[none]= (1/2)^8
So P[at least correct] = 1 - P[none correct] = 1 - (1/2)^8 = .9961
RELATED QUESTIONS
A test consists of 10 true of false questions. To pass the test a student must answer at... (answered by Fombitz)

An unprepared student makes random guesses on a 5 question true-false examination. What... (answered by richard1234)

Write out the sample space for the following scenario. A student randomly guesses the... (answered by ewatrrr)

A student takes a ten-question true-false quiz, but did not study and randomly guesses... (answered by greenestamps)

A test consists of 10 true/false questions. To pass the test a student must > answer at (answered by jjordan95)

A test consists of 10 true/false questions. To pass the test a student must answer at... (answered by jorel1380)

A test consists of 10 true/false questions. To pass the test a student must answer at... (answered by solver91311)

a test consists of 10 true or false questions to pass the test a student must answer at... (answered by stanbon)

an unprepared student makes random guesses for the ten true-false questions on a quiz.... (answered by edjones)