chapter 4.2 homework\nscore: 45/83 answered: 27/38\nquestion 28\n4.2 theoretical probability…
chapter 4.2 homework\nscore: 45/83 answered: 27/38\nquestion 28\n4.2 theoretical probability. complement.\nprobability: an event and its complement\ndetermine the following probabilites. write your answer in the form given in the information in the problem (percent, decimal, or fraction).\nthe probability that a person will get the flu in a given year is 8%.\nwhat is the probability a person will not get the flu?\nthe probability winning a prize at a carnival is 0.27.\nwhat is the probability of not winning a prize?\nthe probability of choosing a blue marble out of a jar of marbles is $\frac{17}{36}$.\nwhat is the probability of not choosing a blue marble?\nquestion help: video written example message instructor
Answer
Explanation:
Step1: Recall probability - complement rule
The probability of an event $A$ and its complement $\overline{A}$ satisfy $P(A)+P(\overline{A}) = 1$.
Step2: Calculate probability of not getting flu
Given $P(\text{get flu})=0.08$, then $P(\text{not get flu})=1 - 0.08=0.92 = 92%$.
Step3: Calculate probability of not winning prize
Given $P(\text{win prize}) = 0.27$, then $P(\text{not win prize})=1 - 0.27 = 0.73$.
Step4: Calculate probability of not choosing blue marble
Given $P(\text{choose blue marble})=\frac{17}{36}$, then $P(\text{not choose blue marble})=1-\frac{17}{36}=\frac{36 - 17}{36}=\frac{19}{36}$.
Answer:
- 92%
- 0.73
- $\frac{19}{36}$