QuestionA multiple choice quiz has three questions, each with five answer choices. Only one of the choices is correct. You have no idea what the anwer is to any question and have to guess each answer.
2
Numeric
1 point
What is the probability of answering the first question correctly?
Type your answer...
3
Numeric 2 points
What is the probability of answering the first two questions correctly?
Type your answer...
4
Numeric
2 points
What i the probability of answering all three questions correctly?
Type your answer...
Studdy Solution
STEP 1
1. Each question on the quiz has five answer choices.
2. Only one of the five choices is correct for each question.
3. The guesses for each question are independent events.
STEP 2
1. Calculate the probability of answering the first question correctly.
2. Calculate the probability of answering the first two questions correctly.
3. Calculate the probability of answering all three questions correctly.
STEP 3
Calculate the probability of answering the first question correctly:
Since there is only one correct answer out of five choices, the probability of guessing the correct answer for the first question is:
STEP 4
Calculate the probability of answering the first two questions correctly:
Since the guesses are independent, the probability of answering both the first and second questions correctly is the product of their individual probabilities:
STEP 5
Calculate the probability of answering all three questions correctly:
Similarly, the probability of answering all three questions correctly is the product of the probabilities for each question:
The probability of answering the first question correctly is:
The probability of answering the first two questions correctly is:
The probability of answering all three questions correctly is:
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