Question

Alex and Fatima both randomly guess all of the answers on a four-question true faise quiz. Because their

guesses are random each question has an equal chance of being correct or incorrect. After the quiz, they
try to predict their grades
Fatima thinks that the probability of getting all correct answers by guessing is equal to the probability of
getting exactly one correct answer by guessing. Alex disagrees. He thinks that the probability of getting
cactly one correct answer is greater
The sample space of possible outcomes is listed below. Crepresents a correct answer and I represents an
incorrect answer
Who is correct. Alex or Fatima?
Choose 1 answer:
Fatima is correct
©
Alex is correct.
3 of 5
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Answer 1

Alex is correct.

Step-by-step explanation:

Alex is correct.

The probability of getting all correct answers by guessing is equal to the probability of getting exactly one correct answer by guessing. Let's consider a four-question true/false quiz.

The sample space of possible outcomes for the four questions is:

CCCC, CCCI, CCIC, CCIIC, CIIC, CIIT, etc.

Each outcome has an equal probability of occurring since the guesses are random. There are 16 possible outcomes.

Now, let's count the number of outcomes where all the answers are correct. There is 1 outcome (CCCC).

Next, let's count the number of outcomes where exactly one answer is correct. In this case, there are 4 possible outcomes (CCCI, CCIIC, CIIC, CIIT).

Therefore, the probability of getting all correct answers is 1/16, and the probability of getting exactly one correct answer is 4/16. Since 1/16 < 4/16, Alex is correct.

Answer 2

Answer:Alex is the right answer

Step-by-step explanation: