Q; Jack and Jill have two children and one of the children is a boy. Assuming that the probability of each gender is 50/50. What is the probability that the other child is also a boy?
A: 1/3
The following are possible combinations of two children:
Boy - Girl
Girl - Boy
Boy - Boy
Girl - Girl
Out of the above options 3 contain at least one boy and only one of them has two boys. So once you know that one of them is a boy, you can just focus on these 3 possible outcomes and since only one of the outcomes has two boys, the probability would be 1 out of 3 or 1/3
Boy - Girl
Girl - Boy
Boy - Boy
Girl - Girl
Out of the above options 3 contain at least one boy and only one of them has two boys. So once you know that one of them is a boy, you can just focus on these 3 possible outcomes and since only one of the outcomes has two boys, the probability would be 1 out of 3 or 1/3
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