Interesting probability fact
"Sally Clark’s life was ruined by a wrong-headed assumption of independent probability. Her first child died of SIDS (called “cot death” in her native UK) in 1996. When her second son also died of SIDS the following year, she was accused of murdering both her children. The prosecution’s argument was that the chances of one child dying from SIDS were 1 in 8543, so the probability of two such deaths in the same family were one in 8543 × 8543 or about 73,000,000, too small to be a coincidence. This argument was persuasive and in 1999 she was convicted of murder and sent to prison.
The Royal Statistical Society (RSS) objected to this misuse of probability in 2001. The two children were brothers, sharing common genetics and a common environment. Their circumstances were not independent. Wrongfully assuming independence lead to a probability estimate that was likely much too small. The RSS also objected that the probability, even if it were correct, was being used inappropriately. In 2003 Sally Clark’s conviction was overturned. Although she was released from prison, she never recovered from her ordeal and died of alcohol poisoning in 2007."
"Sally Clark’s life was ruined by a wrong-headed assumption of independent probability. Her first child died of SIDS (called “cot death” in her native UK) in 1996. When her second son also died of SIDS the following year, she was accused of murdering both her children. The prosecution’s argument was that the chances of one child dying from SIDS were 1 in 8543, so the probability of two such deaths in the same family were one in 8543 × 8543 or about 73,000,000, too small to be a coincidence. This argument was persuasive and in 1999 she was convicted of murder and sent to prison.
The Royal Statistical Society (RSS) objected to this misuse of probability in 2001. The two children were brothers, sharing common genetics and a common environment. Their circumstances were not independent. Wrongfully assuming independence lead to a probability estimate that was likely much too small. The RSS also objected that the probability, even if it were correct, was being used inappropriately. In 2003 Sally Clark’s conviction was overturned. Although she was released from prison, she never recovered from her ordeal and died of alcohol poisoning in 2007."