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In a village in each family they give birth to children till they get a boy. IF girl child they try again. What is the ratio of boys to girls.

2006-09-01 21:11:01 · 3 answers · asked by purnima d 1 in Science & Mathematics Mathematics

3 answers

The ratio is 1:1. Consider all families that have a baby. Approximately one half of these babies are boys, half of them are girls. Some of these families "advance to the next round" to have more babies. Now consider the second-born babies. Again, the ratio of boys vs girls is 1:1... and so on. So ultimately the ratio is 1:1.

Let's think about this with a smaller size (16 families) having exactly 4 children. This distribution would look like this:
BBBB
BBBG
BBGB
BBGG
BGBB
BGBG
BGGB
BGGG
GBBB
GBBG
GBGB
GBGG
GGBB
GGBG
GGGB
GGGG
32 boys : 32 girls (ratio 1:1)

But now have them stop if when they hit a boy:
B
B
B
B
B
B
B
B
GB
GB
GB
GB
GGB
GGB
GGGB
GGGG
15 boys : 15 girls (1:1 ratio)

Expanding this out to 31 families:
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
B
GB
GB
GB
GB
GB
GB
GB
GB
GGB
GGB
GGB
GGB
GGGB
GGGB
GGGGB
GGGGG
31 boys : 31 girls (1:1 ratio)

Fortunately this matches with our intuition. There is nothing in this scheme that is changing the independent 50%/50% chance of having a boy vs. a girl, so we would expect it to remain a 1:1 ratio... and it does.

2006-09-01 21:15:06 · answer #1 · answered by Puzzling 7 · 2 0

Statistical results show 1:1 between boys and girls. In actuality the female child falls back and the ratio of boys to girls comes to 1000:980.( typical). Many causes for this. Main cause of worry in developing countries is the female abortions and termination of pregnancy very early and so on.

2006-09-01 21:25:51 · answer #2 · answered by openpsychy 6 · 0 0

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2016-12-11 19:28:52 · answer #3 · answered by ? 4 · 0 0

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