If I flipped 216 coins, the exact sequence that I get back also has a probability of 9e-66.
If I flipped 532 coins, the probability that I get any specific subset that share the same side is the sum of all probability that gives that result.
What we know is that 132 out 694 villages, with the average number of born children for 3 months being 1.6, had zero girls. The other 562 villages with unknown average of children had girls. As such we can conclude that the probability must be the sum of all sequences of births that results in 132 out of 694 villages having exactly no girls born under the period of 3 months.
The probability of the 132 villages is thus undefined as we simply do not have enough data on the spectrum of sequences. Based on the global census of 943 females per 1,000 males we can suspect a bias and create a ball park guess, but there is simply not enough to say an exact number like 9e-66.
If I flipped 216 coins, the exact sequence that I get back also has a probability of 9e-66.
If I flipped 532 coins, the probability that I get any specific subset that share the same side is the sum of all probability that gives that result.
What we know is that 132 out 694 villages, with the average number of born children for 3 months being 1.6, had zero girls. The other 562 villages with unknown average of children had girls. As such we can conclude that the probability must be the sum of all sequences of births that results in 132 out of 694 villages having exactly no girls born under the period of 3 months.
The probability of the 132 villages is thus undefined as we simply do not have enough data on the spectrum of sequences. Based on the global census of 943 females per 1,000 males we can suspect a bias and create a ball park guess, but there is simply not enough to say an exact number like 9e-66.