Distribution of Tails within 100 sets of Flipping a Coin
6 2%
5 9%
4 23%
3 32%
2 23%
1 9%
0 2%
The J.F. Witter Teaching & Research Center
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The Witter Center Farm as of late has been one haven of baby girls; eight baby girls to be exact in the last two months. Almost all of the babies born recently at the farm have been girls, while only two of recent have been boys. In a functional dairy barn like our own, the importance of girls cannot be understated. Heifers (girls) are raised at the farm and are kept through to lactation and as long as the heifer wishes to stay apart of the herd; barring any complications of course. The farm has definitely been graced with girls in the past few months, but can the streak continue? The probability of having a girl calf over a boy calf follows the same principles as any probability problem having to do with a binomial. It’s just the same probability that if you were to flip a coin you would get heads over tails. Each baby born is like flipping a new set of coins, each with relatively the same probability for either sex to be born. The table below, retrieved from Beef Magazine, shows the likelihood of flipping either heads or tails, boy or girl when flipping a coin 100 times. The table basically says that with larger number of flips, the probability leans more strongly towards a 50/50 ratio of boys to girls born. Somehow it seems that Witter Farm is beating the probability as in the last 10 babies born, 8 have been girls. That is that 80% of the time, Witter Farm is having baby girls. It may be only so long before the number of girls to boys ratio flips, and the farm might be bulging with baby boys! But for now, here’s to many more baby girls. Distribution of Tails within 100 sets of Flipping a CoinNumber tails (boy) % of flip sets
6 2% 5 9% 4 23% 3 32% 2 23% 1 9% 0 2%
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