document.write( "Question 1025900: What is the probability of guessing 2 multiple choice questions correct if each question has 5 possible answer choices. Write your answer as a decimal \n" ); document.write( "
Algebra.Com's Answer #641186 by mathmate(429)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Question: \n" ); document.write( "What is the probability of guessing 2 multiple choice questions correctly if each question has 5 possible answer choices. Write your answer as a decimal. \n" ); document.write( " \n" ); document.write( "Solution: \n" ); document.write( "Each question has a probability of p=1/5=0.2 correct, assuming the answers are randomly chosen. \n" ); document.write( "A two-step experiment each with probability of p will succeed both steps with a probability of p*p by the multiplication rule. \n" ); document.write( "So guessing correctly both questions in a two-question multiple choice test has a probability of (1/5)*(1/5). \n" ); document.write( " \n" ); document.write( "I will leave it to you to press the buttons of the calculator and convert the answer to a decimal. \n" ); document.write( " |