Probability and Two-Way Tables

Find P(B|C).

P(B|C) = 9/24 = 0.38

The two-way table shows data for a florist's inventory by flower and color. What is the probability that the florist randomly selects a tulip for a bouquet?

P(tulip) = 37/86

The table displays the distribution of blood types A, B, AB, and O to the presence of the Rh factor that is either present (Pos.) or absent (Neg.). The probability that a person has a positive Rh factor given that he/she has type O blood is percent. There is a greater probability for a person to have a than a person to have a positive Rh factor given type O blood.

*82 *positive Rh factor given type A blood

The two-way table shows the results of a recent study on the effectiveness of the flu vaccine. What is the probability that a randomly selected person who tested positive for the flu is vaccinated?

465/950

Brown Law Firm collected data on the transportation choices of its employees for their morning commute. The table shows the percentages of the type of transportation of the male and female employees. Consider the following events: A: The employee is male. B: The employee is female. C: The employee takes public transportation. D: The employee takes his/her own transportation. Which two events are independent?

A and C

At West View High School, every freshman (Fr) and sophomore (So) has either math (M), science (S), English (E), or history (H) as the first class of the day. The two-way table shows the distribution of students by first class and grade level. Which expression represents the conditional probability that a randomly selected freshman has English as the first class of the day?

P(EIFr) What is the probability that a randomly selected freshman has English as the first class of the day? 59/212

The two-way table shows the results of a recent study on the effectiveness of the flu vaccine. Let N be the event that a person tested negative for the flu, and let V be the event that the person was vaccinated. Answer the questions to determine if events N and V independent. Round your answers to the nearest hundredth.

P(N|V) = 0.62 P(N) = 0.59 Are events N and V independent events? Yes or no? No

The two-way table shows the distribution of book style to genre. Miguel claims that given that the book is paperback (PB) does not affect the outcome that the book is nonfiction (NF). Is Miguel's claim correct?

Yes, the two events are independent because P(NF|PB) = P(NF).