a dentist was making note of her upcoming appointments with different aged patients and the reasons for…

a dentist was making note of her upcoming appointments with different aged patients and the reasons for their visits.\nwhat is the probability that a randomly selected appointment is for a regular cleaning given that the appointment is with a patient 19 - 60?\nsimplify any fractions.

a dentist was making note of her upcoming appointments with different aged patients and the reasons for their visits.\nwhat is the probability that a randomly selected appointment is for a regular cleaning given that the appointment is with a patient 19 - 60?\nsimplify any fractions.

Answer

Explanation:

Step1: Identify relevant numbers

For patients 19 - 60, number of regular - cleaning appointments is 2 and number of broken - tooth appointments is 3. Total appointments for patients 19 - 60 is (2 + 3=5).

Step2: Calculate conditional probability

The formula for conditional probability (P(A|B)=\frac{n(A\cap B)}{n(B)}). Here, event (A) is a regular - cleaning appointment and event (B) is an appointment with a patient 19 - 60. So the probability that a randomly selected appointment is for a regular cleaning given that the appointment is with a patient 19 - 60 is (\frac{2}{2 + 3}).

Answer:

(\frac{2}{5})