SOLUTION: Find the probability of answering the two multiple choice questions correctly if random guesses are made. Assume the questions each have five choices for the answer. Only one of th

Algebra ->  Probability-and-statistics -> SOLUTION: Find the probability of answering the two multiple choice questions correctly if random guesses are made. Assume the questions each have five choices for the answer. Only one of th      Log On


   

Question 1120828: Find the probability of answering the two multiple choice questions correctly if random guesses are made. Assume the questions each have five choices for the answer. Only one of the choices is correct.
0.004
0.02
0.4
0.04
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

in your case:
Total number of questions to be answered is 2.
Number of choices to be made for correct answer is 5.
Let A be the probability of selecting correct answers.
Probability of selecting correct answer from each question is:
P%28A%29=%28number_of_favorable_events%29%2F%28total_number_of_events%29
P%28A%29=1%2F5
Let B+be the probability of correctly answering four questions.
Probability of answering image questions is:
P%28B%29=P%28A%29%2AP%28A%29
P%28B%29=%281%2F5%29%281%2F5%29
P%28B%29=1%2F25
P%28B%29=highlight%280.04%29 -> the answer