Probability Models pp 23-45 | Cite as

# Conditional Probability and Independence

Chapter

## Summary

If you throw a fair die, with no clues given about the outcome, the chance of getting a six is 1/6. But maybe you have been told that this *blue* die, and another *red* die were thrown, and their total score was four. Then you could be sure that the score on the blue die was not six. Similarly, to be told that the total score was ten makes it more likely that the blue die scored six, as all scores lower than four are eliminated. Information about the total score on the two dice can change your original opinion about the chance of a six.

## Keywords

Conditional Probability White Ball Cantelli Lemma Original Opinion Guilty Verdict
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

## Bibliography

- Simpson EH (1951) The interpretation of interaction in contingency tables. J R Stat Soc B 13:238–241 MATHGoogle Scholar

## Copyright information

© Springer-Verlag London 2013