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100 families with two children were sele...

100 families with two children were selected randomly and the following data were recorded :
`{:("No. of girls in family",2,1,0),("No. of families",12,80,8):}`
Calculate the probability of a family chosen at random having
two girls

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The correct Answer is:
To solve the problem of calculating the probability of a family chosen at random having two girls, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Data Provided**: We have data on 100 families with two children. The data shows: - Number of families with 2 girls: 12 - Number of families with 1 girl: 80 - Number of families with 0 girls: 8 2. **Identify Total Families**: The total number of families surveyed is given as 100. 3. **Identify Favorable Outcomes**: We need to find the number of families that have 2 girls. From the data, this number is 12. 4. **Calculate the Probability**: The probability \( P \) of a family having 2 girls can be calculated using the formula: \[ P(\text{2 girls}) = \frac{\text{Number of families with 2 girls}}{\text{Total number of families}} \] Substituting the values: \[ P(\text{2 girls}) = \frac{12}{100} \] 5. **Simplify the Probability**: Simplifying \( \frac{12}{100} \): \[ P(\text{2 girls}) = 0.12 \] 6. **Conclusion**: The probability of a family chosen at random having two girls is \( 0.12 \). ### Final Answer: The probability of a family chosen at random having two girls is \( 0.12 \). ---
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