We appreciate your visit to According to an online car seller 22 25 of preowned automobiles sold are black 19 34 are white 17 63 are gray and 14 64. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve this problem, we need to find the probability that a randomly selected preowned automobile is either gray or silver.
The problem gives us the percentage of cars that are gray and silver:
- Gray: 17.63%
- Silver: 14.64%
The probability of an event is expressed as a percentage of the total outcomes. Since we are looking for the probability of selecting either a gray or a silver car, we can add the probabilities of these two events because they are mutually exclusive (a car cannot be both gray and silver simultaneously).
Calculate the probability of selecting a gray car:
[tex]P(\text{Gray}) = 17.63\%[/tex]Calculate the probability of selecting a silver car:
[tex]P(\text{Silver}) = 14.64\%[/tex]Add the two probabilities to find the probability of selecting a car that is either gray or silver:
[tex]P(\text{Gray or Silver}) = P(\text{Gray}) + P(\text{Silver}) = 17.63\% + 14.64\%[/tex]Perform the addition:
[tex]P(\text{Gray or Silver}) = 32.27\%[/tex]
Therefore, the probability that a randomly selected preowned automobile is either gray or silver is [tex]32.27\%[/tex].
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