The probability that a patient visiting a dentist will have a tooth extract is 0.06, the probability that he will have a cavity filled is 0.2 and the probability that he will have a tooth extracted as well as cavity filled is 0.03. what is the probability of that a patient has either a tooth extracted or a cavity filled?

Explanation

Let `A` be the event that the patient will have his tooth extracted,

`B` the event that he will have a cavity filled

We have, `P(A)=0.06,P(B)=0.2 ` and `P(A∩B)=0.03`

Therefore,

Required probability `= P(A∪B)=P(A)+P(B)−P(A∩B)`

=`0.06+0.2−0.03=0.23`
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