Question

Suppose that 7 out of the 23 doctors in a small hospital are General Practitioners, 9 out of the 23 are under the age of 40, and 3 are both General Practitioners andunder the age of 40. What is the probability that you are randomly assigned a General Practitioner or a doctor under the age of 40? Enter a fraction or round youranswer to 4 decimal places, if necessary.

Answer 1

Answer:

The probability that a General Practitioner or a doctor under the age of 40 is 0.5652

Step-by-step explanation:

Given that:

7/23 doctors are General Practitioners

9/23 are under the age of 40

3 are both General Practitioners and under the age of 40.

The probability that a General Practitioner or a doctor under the age of 40 is:

P(General Practitioner) + P(Under the age of 40) - P(both General Practitioner and under the age of 40)

= 7/23 + 9/23 - 3/23

= (7 + 9 - 3)/23

= 13/23

= 0.5652