Question

chapter 4.2 homework
score: 45/83 answered: 27/38
question 28
4.2 theoretical probability. complement.
probability: an event and its complement
determine the following probabilites. write your answer in the form given in the information in the problem (percent, decimal, or fraction).
the probability that a person will get the flu in a given year is 8%.
what is the probability a person will not get the flu?
the probability winning a prize at a carnival is 0.27.
what is the probability of not winning a prize?
the probability of choosing a blue marble out of a jar of marbles is $\frac{17}{36}$.
what is the probability of not choosing a blue marble?
question help: video written example message instructor

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:

1. 92%
2. 0.73
3. $\frac{19}{36}$