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

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Q. You flip a coin twice.\newlineWhat is the probability of getting tails and then getting tails?\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 tails on a single flip is P(Tails)=Favorable outcomesTotal outcomes=12P(\text{Tails}) = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} = \frac{1}{2}
  2. Independent Events: Since the flips are independent events, the probability of getting tails on the first flip and tails on the second flip is the product of their individual probabilities. Therefore, P(\text{Tails and then Tails}) = P(\text{Tails on first flip}) \times P(\text{Tails on second flip}) \(\newline= \frac{1}{2} \times \frac{1}{2} \newline= \frac{1}{4}\)
  3. Percentage Conversion: The probability as a fraction is 14\frac{1}{4}. To convert this probability to a percentage, we multiply by 100100. \newline(14)×100=25%(\frac{1}{4}) \times 100 = 25\%

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