Coin Toss Experiment?

📌 CONCEPT: The probability of obtaining a sequence that contains exactly two heads in a coin toss experiment can be calculated using the binomial probability formula, considering the total number of trials and the number of successful outcomes.

📐 RULE / FORMULA: The probability of getting exactly two heads in four trials is given by the binomial coefficient formula, P(X = r) = (nCr) × (p^r) × (q^(n-r)), where n is the total number of trials, r is the number of successful outcomes, p is the probability of success, and q is the probability of failure.

💡 WORKED EXAMPLE: To find the probability of getting exactly two heads in four trials, we use the formula P(X = 2) = (4C2) × (0.5^2) × (0.5^2) = 6 × (0.25) × (0.25) = 0.375.

⚠️ COMMON MISTAKE: Students might incorrectly calculate the binomial coefficient or incorrectly apply the formula, failing to consider the probability of success and failure.