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The Hardy distribution for golf hole scores
Published online by Cambridge University Press: 23 January 2015
Extract
In an article entitled ‘A Mathematical Theorem about Golf’ [1] G.H. Hardy introduced a simple model of golfing. He assumed, that, at one hole, a golfer has probability p of gaining a stroke with a single shot, and probability q that his shot costs him a stroke. Such strokes will be described as good (G) or bad (B), respectively, leaving probability 1 − p − q for an ordinary (O) stroke (see also [2]). For example, on a par four hole, successive strokes OGO will result in a birdie (a score which is one stroke less than par) and BBGOO in a bogey (a score which is one stroke more than par). In this paper the probability distribution P(Tk = n) will be derived for the number of strokes T a player may take on a hole of par k.
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References
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Hardy, G. H., A mathematical theorem about golf, Math. Gaz., 29 (December 1945) pp. 226–227.Google Scholar
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Cohen, G. L., On a Theorem of G. H. Hardy concerning Golf, Math. Gaz., 86 (March 2002) pp. 120–124.Google Scholar
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Taylor, H. M. and Karlin, S., An introduction to stochastic modeling (3rd edn.) Academic Press (1998).Google Scholar
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Minton, R. B., G. H. Hardy's Golfing Adventure, Mathematics and sports, Gallian, Joseph A., ed. MAA (2010) pp. 169–179.Google Scholar