You have a 1 in 2 chance of having a girl. No matter how many boys you have had in the past or how many girls you have had in the past, each pregnancy presents the opportunity to have a girl or a boy with a 50% chance. The sperm does not know that it had already produced ,say, 5 boys and needs to produce a girl for you and your partner. So with every pregnancy there is a 50% chance you will have a girl and a 50% chance you will have a boy.
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Probability of girl, assumed to be 0.5. Therefore, probability of 5 girls is 0.5^5 or 0.03125.
Assuming that the probability of having a baby girl is 1/2 and that of having a baby boy is 1/2, the probability of having 3 baby girls in a row is (1/2)(1/2)(1/2)=1/8.
Oh, what a lovely thought! The probability of giving birth to a girl is 1/2 each time, so the probability of having 5 girls in a row is (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/32. Remember, each birth is a unique and wonderful event, no matter the outcome.
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These events are independent; so the probability of a girl is 0.5.