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Find the probability of getting head in ...

Find the probability of getting head in a toss of one coin:

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To find the probability of getting a head in a toss of one coin, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Sample Space**: When we toss a coin, there are two possible outcomes: Heads (H) and Tails (T). Therefore, the sample space (S) can be represented as: \[ S = \{H, T\} \] 2. **Count the Total Outcomes**: The total number of outcomes in the sample space is 2, since there are two possible results when tossing a coin. 3. **Identify the Favorable Outcomes**: We are interested in the event of getting a head. In the sample space, the favorable outcome for getting a head is: \[ \text{Favorable Outcomes} = \{H\} \] Thus, the number of favorable outcomes is 1. 4. **Calculate the Probability**: The probability (P) of an event is calculated using the formula: \[ P(\text{Event}) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \] Substituting the values we found: \[ P(\text{Getting Head}) = \frac{1}{2} \] 5. **Final Answer**: Therefore, the probability of getting a head when tossing a coin is: \[ \frac{1}{2} \]
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