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A fleet of eight taxis is to be randomly assigned to three airports X,Y, and Z, with four going to X, three to Y, and one to Z. What is the probability that the specific taxi driven by Chase is assigned to airport Z?

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closed as off-topic by Especially Lime, kimchi lover, NCh, Leucippus, Carmeister Nov 9 at 5:12

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    $\begingroup$ There are 8 taxis. One and only one of them goes to airport Z. So the probabilty that one particular taxi goes to Z is equal to ... $\endgroup$ – Damien Nov 8 at 15:16
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We can answer this question by creating a set for each taxi. As you said, there are eight taxis - four going to airport X, three to Y, and one to Z. This can be written out like so:

$\text{{X, X, X, X, Y, Y, Y, Z}}$

The airport we're looking for, $\text{Z}$, appears one time out of eight items in the set. As such, we can say it takes up $\frac 18$ of the set. Assuming the specific taxi in question is randomly chosen, this means the probability of it being assigned to airport $\text{Z}$ is $\frac 18$.

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  • $\begingroup$ How about this one? Please help me. A shelf has 6 dynamics books and 6 physics books. Find the probability that 5 particular dynamics books will be together. (Enter your answer as a fraction in simplest form or as a decimal rounded to four decimal places.) $\endgroup$ – Jinky Lhers Araves Nov 8 at 15:54
  • $\begingroup$ Thank you so much! $\endgroup$ – Jinky Lhers Araves Nov 8 at 15:54

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