Question

Maya is playing a trivia game with multiple choice questions. Each question has 222 correct answers among 555 answer choices. Maya has no idea what the answers to a certain question are, so she needs to choose two different answers at random. What is the probability that maya's first guess is correct and her second guess is incorrect? round your answer to two decimal places.

Answer 1

The probability that maya's first guess is correct and her second guess is incorrect is 0.24

From the question given above, the following data were obtained:

• Correct answer (C) = 222

• Total answer = 555

• Incorrect answer (I) = 555 – 222 = 333

Next, we shall determine the probability that her 1st guess is correct.

• Correct answer, nC = 222

• Total answer, nS= 555

• Probability of correct answer, P(C) =?

P(C) = nC / nS

P(C) = 222 / 555

Next, we shall determine the probability that her 2nd guess is incorrect

• Incorrect answer, nI = 333

• Total answer, nS = 554

• Probability of incorrect answer, P(I) =?

P(I) = nI / nS

P(I) = 333 / 554

Finally, we shall determine the probability that her first guess is correct and her second guess is incorrect.

• Probability of correct answer, P(C) = 222 / 555

• Probability of incorrect answer, P(I) = 333 / 554

• Probability of 1st correct and 2nd incorrect, P(C n I) =?

P(C n I) = P(C) × P(I)

P(C n I) = (222 / 555) × (333 / 554)

P(C n I) = 0.24

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