Praxis 5511 Practice Test Practice Question
Mia will toss a fair coin three times and record whether the outcome is a head or a tail. A coin is fair if each time it is tossed, the coin lands either heads up or tails up, and the probability that the coin will land heads up is equal to the probability that the coin will land tails up. Which of the following is the probability that the outcomes of Mia's three coin tosses will include two heads and one tail?
Correct Answer: C
Rationale: To determine the probability of getting exactly two heads and one tail in three coin tosses, we first calculate the total possible outcomes, which is \(2^3 = 8\). The successful outcomes for two heads and one tail are HHT, HTH, and THH, totaling three favorable outcomes. Thus, the probability is \( \frac{3}{8} \).
Option A (1/8) represents the probability of getting all heads or all tails, which is not applicable here. Option B (2/8) incorrectly suggests there are only two favorable outcomes. Option D (4/8) overestimates the possibilities, as it implies four successful outcomes exist instead of three.
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