The probability of having a toothache because of a cavity is 0.8. Suppose the probability of having a cavity is 0.05. Assuming the probability of a toothache given you have no cavity is 0.01, what's 'the probability of a cavity if you have a toothache?
1 Answer
Explanation:
Let
event that you have Cavity . Then,
you have No Cavity.
In the Usual Notation of Conditional Probability , we have,
Recall that,
Now,
Thus, from
are mutually exclusive events and
Therefore, by
Finally, the Reqd. Prob.
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