In a hospital, there are 10 nurses and 5 physicians. Seven nurses and two physicians are males.
The sample space can be written in a table form.
Staff Females Males Total
Nurses: (3 , 7, 10)
Physicians: (3, 2, 5)
total :
If a person is selected from the staff, what is the probability that a person is nurse of female?
What is the probability that a person selected is a male or physician?
What is the probability that a person selected is male or female?
What is the probability that a person selected is nurse or physician?
What is the probability that a person selected is a nurse or male?
Share
Answer:
If we represent the events "Nurse" and "Female" as N and F respectively, then we can fill in the table as follows:
Staff Females Males Total
Nurses (N) 3 7 10
Physicians (P) 2 3 5
Total 5 10 15
The probability that a person selected from the staff is a nurse or female is:
P(N or F) = P(N) + P(F) - P(N and F) = 10/15 + 5/15 - 3/15 = 12/15 = 4/5
The probability that a person selected is a male or physician is:
P(M or P) = P(M) + P(P) - P(M and P) = 8/15 + 5/15 - 2/15 = 11/15
The probability that a person selected is male or female is equal to 1 because every person is either male or female.
The probability that a person selected is a nurse or physician is:
P(N or P) = P(N) + P(P) - P(N and P) = 10/15 + 5/15 - 2/15 = 13/15
The probability that a person selected is a nurse or male is:
P(N or M) = P(N) + P(M) - P(N and M) = 10/15 + 8/15 - 7/15 = 11/15