Some families with 2 children were selected randomly and the following data were recorded Number of girls in a family 0 1 2 Number of families 25 76 24 If a family is chosen at random, compute the probability that it has at least 1 girl.
Question
Some families with 2 children were selected randomly and the following data were recorded Number of girls in a family 0 1 2 Number of families 25 76 24 If a family is chosen at random, compute the probability that it has at least 1 girl.
Solution
To compute the probability that a randomly chosen family has at least 1 girl, we need to consider the number of families with at least 1 girl and divide it by the total number of families.
First, let's calculate the number of families with at least 1 girl. This includes families with 1 girl and families with 2 girls.
Number of families with at least 1 girl = Number of families with 1 girl + Number of families with 2 girls = 76 + 24 = 100
Next, let's calculate the total number of families.
Total number of families = Number of families with 0 girls + Number of families with 1 girl + Number of families with 2 girls = 25 + 76 + 24 = 125
Finally, we can calculate the probability by dividing the number of families with at least 1 girl by the total number of families.
Probability of having at least 1 girl = Number of families with at least 1 girl / Total number of families = 100 / 125 = 0.8
Therefore, the probability that a randomly chosen family has at least 1 girl is 0.8 or 80%.
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