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What is the probability of both coins landing on heads?\newline\newlineWrite your answer as a fractions" target="_blank" class="backlink">fraction or a whole number. With fractions, use a slash ( // ) to separate the numerator and denominator.\newline___\_\_\_

Full solution

Q. What is the probability of both coins landing on heads?\newline\newlineWrite your answer as a fraction or a whole number. With fractions, use a slash ( // ) to separate the numerator and denominator.\newline___\_\_\_
  1. Identify Probability of Heads: Step 11: Identify the probability of one coin landing on heads. Since a coin has two sides, heads and tails, the probability of getting heads is 11 out of 22.
  2. Multiply Probabilities: Step 22: Since the question asks for the probability of both coins landing on heads, we need to multiply the probability of one coin landing on heads by itself (because the coins are independent of each other). So, it's (12)×(12)(\frac{1}{2}) \times (\frac{1}{2}).
  3. Calculate Final Probability: Step 33: Calculate (12)×(12)=14(\frac{1}{2}) \times (\frac{1}{2}) = \frac{1}{4}. This means there is a 11 in 44 chance for both coins to land on heads.

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