Memoryless property for the geometric distribution

Discussion in 'CS1' started by Thabo Motaung, Jul 2, 2022.

  1. Thabo Motaung

    Thabo Motaung Made first post

    Good day

    For the example in the notes that displays the memoryless property where a woman has two boys and a girl, the probability of a success is 0.5, and they want to calculate the probability that her next two children are girls. Since here x = 2, I wanted to know what n is because it seems as though that n = 2 here so that x + n = 4 so that the maths works out but exactly why that is the case I cannot understand. I would have assumed n = 3 since we have that X is the rv that she bears 2 girls and n is the number of trials that have passed without seeing that success(i.e of not having two children which are girls) which works out to be 3.

    Thank you

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