Question

Studies show that people who live in very cold climates have a 30% chance of getting influenza and a 15% chance of getting appendicitis during the winter. What is the probability a person has both diagnoses, rounded to the nearest percent?

Answer 1

Answer: The probability a person has both diagnoses = 4.5%

Step-by-step explanation:

Given: Chances of getting influenza = 30% = 0.30

Chances of getting appendicitis  = 15% = 0.15

Since both the events are independent , so the probability a person has both diagnoses will be

P(influenza and appendicitis) =P(influenza) x P(appendicitis)

$=0.30\times0.15\\\\=0.045\\\\=4.5\%$

Hence, the probability a person has both diagnoses = 4.5%