In a housing society, half of the families have a single child per family,…
2024
In a housing society, half of the families have a single child per family, while the remaining half have two children per family. The probability that a child picked at random has a sibling is _______.
- A.
0.44
- B.
0.55
- C.
0.66
- D.
0.77
Attempted by 21 students.
Show answer & explanation
Correct answer: C
Correct Option
Option C: 0.66 (or approximately 2/3)
Detailed Explanation
To find the probability that a randomly picked child has a sibling, we must consider the total number of children in the society rather than just the number of families.
Assume a population: Suppose there are 100 families.
50 families have 1 child (50 children total).
50 families have 2 children (100 children total).
Calculate the total number of children:
50 + 100 = 150 children in total.
Identify children with siblings:
Children from 1-child families have 0 siblings.
Children from 2-child families (100 children) each have one sibling.
Calculate the probability:
The number of children who have a sibling is 100.
The total number of children is 150.
Probability = 100 / 150 = 2/3 ≈ 0.66.