Permutations and Probability Determine the following...

Permutations and Probability Determine the following probabilities. Enter your answers as percents rounded to four decimal places. The student council has 9 members where 5 of the members are Seniors. They need to choose a President, Vice President, Secretary and Treasurer. If the members are randomly assigned to the positions, what is the probability that the Treasurer is a Senior? Trevor has 10 books and he wants to read 5 over the summer. He has 6 fiction books and 4 nonfiction books. If Trevor randomly selects the 5 books, what is the probability that the first 3 books are fiction and the next 2 books are nonfiction?

Transcript

00:01 Hi, i'm david and i'm here to help you and see your question.

00:03 Now let me bring up your question here.

00:06 In the question here we have the two questions where the first one we have the student can still has the nine members where five of the members and the seniors.

00:16 So let me summarize the question here where we have the group of the totally nine members and inside the nine members we have the five that will be the seniors and then the other for there will be orders and then we're going to select the president, vice president, sanitary and the treasurer and if the members are randomly select aside to their positions what is the probability that the cheser is a senior so we really don't care about the choice of the president vice president and the secretary and we only care but the treasurer so don't find the chance to get the cheser is a senior, it will equal to.

01:06 So the probability that chaserer is the senior, it will just equal to the proportion, where the total number of members equal to the nine, the number of the senior will be the five.

01:25 So therefore we have the five of a nine, then five divided by nine, it will equal to the fifty five point five percent, i write to the two, that's more blessed, i need to round the percent to the four decimal places.

01:42 So therefore we have the five, six.

01:45 And then the next question here we have the cheever has ten books.

01:52 So we have totally will be the ten books here.

01:57 And then he wants to read five over the summer.

02:02 And inside the ten books, that will be the sixth.

02:05 That will be the fiction.

02:07 And then we have the other four.

02:09 That will be the non -fiction.

02:12 And he wants to choose the five books to read over the summers.

02:17 And one is the probability that the first three books are the fiction, and the next two will be the non -fiction...

Question

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