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You flip a coin twice. What is the probability of getting heads and then getting heads? \newlineWrite your answer as a percentage.\newline____%\_\_\_\_\%

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Q. You flip a coin twice. What is the probability of getting heads and then getting heads? \newlineWrite your answer as a percentage.\newline____%\_\_\_\_\%
  1. Coin Flip Probability: The possible outcomes when flipping a coin are \{Heads, Tails\}. The probability of getting heads on a single flip is P(Heads)=Favorable outcomesTotal outcomes=12P(\text{Heads}) = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} = \frac{1}{2}
  2. Independent Events Multiplication: Since the flips are independent events, the probability of getting heads on the first flip and heads on the second flip is the product of the individual probabilities. Therefore, P(\text{Heads and then Heads}) = P(\text{Heads on first flip}) \times P(\text{Heads on second flip}) \ = \frac{\(1\)}{\(2\)} \times \frac{\(1\)}{\(2\)} \ = \frac{\(1\)}{\(4\)}
  3. Percentage Calculation: To express the probability as a percentage, we multiply the probability by \(100. \newline(14)×100=25%\left(\frac{1}{4}\right) \times 100 = 25\%

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