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If you flip three fair coins, what is the probability that you'll get at least two heads?

If you flip three fair coins, what is the probability that you'll get at least two heads?

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Outcomes of compound events

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Q. If you flip three fair coins, what is the probability that you'll get at least two heads?

Count Coin Outcomes: Count the total number of outcomes for flipping one coin. $\newline$ Outcomes for one coin: Heads (H), Tails (T) $\newline$ Number of outcomes for one coin: $2$
Calculate Total Outcomes: Calculate the total number of outcomes for flipping three coins. $\newline$ Total outcomes for three coins = $2 \times 2 \times 2 = 8$
List Possible Outcomes: List all possible outcomes for flipping three coins. $\newline$ $HHH, HHT, HTH, HTT, THH, THT, TTH, TTT$
Count Favorable Outcomes: Count the favorable outcomes where we get at least two heads. $\newline$ Favorable outcomes: $HHH$ , $HHT$ , $HTH$ , $THH$ $\newline$ Number of favorable outcomes: $4$
Calculate Probability: Calculate the probability of getting at least two heads. $\newline$ Probability = Number of favorable outcomes / Total number of outcomes $\newline$ Probability = $\frac{4}{8}$ $\newline$ Probability = $\frac{1}{2}$

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