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Students of under graduation submitted a case study on “Understanding the Probability of…
Students of under graduation submitted a case study on “Understanding the Probability of Left-Handedness in Children Based on Parental Handedness”.
Recent studies suggest that roughly 12% of the world population is left-handed. Depending on the parents' handedness, the chances of having a left-handed child vary as follows:
Scenario A:
Both parents are left-handed, with a 24% chance of the child being left-handed.
Scenario B:
The father is right-handed, and the mother is left-handed, with a 22% chance of child being left-handed.
Scenario C:
The father is left-handed, and the mother is right-handed, with a 17% chance of child being left-handed.
Scenario D:
Both parents are right-handed, with a 9% chance of having a left-handed child.
Assuming that scenarios A, B, C and D are equally likely, and L denotes the event that the child is left-handed, answer the following questions.
Answer the following questions based on the case study:
(a)
What is the overall probability that a randomly selected child is left-handed?
(b)
Given that exactly one parent is left-handed, what is the probability that a randomly selected child is left-handed?
(c)
If a child is left-handed, what is the probability that both parents are left-handed?
Answer
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From ISC 2025 Specimen Mathematics Paper 1, question 10(ii).