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You are thinking of Sally Clark:

https://en.m.wikipedia.org/wiki/Sally_Clark

> Clark's first son died in December 1996 within a few weeks of his birth. Her second son died in similar circumstances in January 1998. A month later, Clark was arrested and tried for both deaths. The defence argued that the children had died of sudden infant death syndrome (SIDS). The prosecution case relied on flawed statistical evidence presented by paediatrician Professor Sir Roy Meadow, who testified that the chance of two children from an affluent family suffering SIDS was 1 in 73 million. He had arrived at this figure erroneously by squaring 1 in 8500, as being the likelihood of SIDS in similar circumstances. The Royal Statistical Society later issued a statement arguing that there was no statistical basis for Meadow's claim, and expressed concern at the "misuse of statistics in the courts".




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