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You flip a coin twice.\newlineWhat is the probability of getting heads and then getting heads?\newlineSimplify your answer and write it as a fraction or whole number.\newline____\_\_\_\_

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Probability of independent and dependent eventsright chevron icon

Full solution

Q. You flip a coin twice.\newlineWhat is the probability of getting heads and then getting heads?\newlineSimplify your answer and write it as a fraction or whole number.\newline____\_\_\_\_
  1. Question Prompt: The question prompt is: ＂What is the probability of getting heads and then getting heads when flipping a coin twice?＂
  2. Total Possible Outcomes: Determine the total number of possible outcomes when flipping a coin twice. Since there are two possible outcomes for each flip (heads or tails), and the coin is flipped twice, the total number of possible outcomes is 2×22 \times 2.\newlineCalculation: 2×2=42 \times 2 = 4
  3. Favorable Outcome: Identify the favorable outcome. The favorable outcome is getting heads on the first flip and heads on the second flip, which is just one specific outcome.\newlineCalculation: There is only 11 way to get heads and then heads.
  4. Calculate Probability: Calculate the probability of the favorable outcome. The probability is the number of favorable outcomes divided by the total number of possible outcomes.\newlineCalculation: Probability = Number of favorable outcomes / Total number of possible outcomes = 14\frac{1}{4}

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