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Probability

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Prabha is working in a software company. Her manager is running a dinner for those employees having atleast one son. If Prabha is invited to the dinner and everyone knows she has two children. What is the probability that they are both boys?

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Correct -
AS She has a boy

P(She has two boys/ she is invited to dinner)
1/4 | 3/4 = 1/3

Incorrect -
(but again i think she should have 1/2 as sample space should be like this (bb,gb). only one is atleast son  so why it shouldn't be 1/2 answer?)
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