Question
Download Solution PDFAssuming the probability of a male birth as 0.5, find the chances that a family of 3 children will have two boys and one girl
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is \(\frac{3}{8}\)
Key Points
Probability:
- Probability is simply how likely something is to happen.
- The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.
- Probability of event to happen P(E) = Number of favourable outcomes/Total Number of outcomes
Important Points According to the question
All possible outcomes are given below:
| Child 1 | Child 2 | Child 3 | Favourable |
| Boy | Boy | Boy | No |
| Girl | Girl | Girl | No |
| Girl | Girl | Boy | No |
| Girl | Boy | Boy | Yes |
| Boy | Girl | Girl | No |
| Boy | Boy | Girl | Yes |
| Girl | Boy | Girl | No |
| Boy | Girl | Boy | Yes |
Probability of having two boys and one girl
= Number of Favourable outcome/Total number of outcomes
= 3 / 8
Last updated on Jun 19, 2025
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