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jimmy is moving to a new apartment. he fills a box with 4 books, 5 DVDs, and 2 CD's. when he starts unpacking his new place he pulls out one object from the box places it on the shelf then pulls out a second object from whats left find the probability of jimmy pulling out a book then a dvd

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rococo908

Answer:

[tex]\frac{2}{11}[/tex]

Step-by-step explanation:

First, find the probability of him pulling out a book.

There are 11 objects in total, and there are 4 books.

So, the probability of pulling out a book is [tex]\frac{4}{11}[/tex]

Next, find the probability of him pulling out a DVD after.

Since a book was taken out, there are only 10 objects left. There are 5 DVDs.

So, the probability of pulling out a DVD is [tex]\frac{5}{10}[/tex], or simplified to [tex]\frac{1}{2}[/tex]

To find the probability that this happens in order, multiply the probabilities:

[tex]\frac{4}{11}[/tex] x [tex]\frac{1}{2}[/tex]

= [tex]\frac{2}{11}[/tex]

So, the probability is [tex]\frac{2}{11}[/tex]

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