In an international film festival, a panel of 11 judges was formed to judge the best film. At last two films F and F were considered to be the best where the opinion of judges got divided. Six judges were in favour of F whereas five in favour of FB. A random sample of five judges was drawn from the panel. Find the probability that out of five judges, three were in favour of film FA. Solve this problem withthe help of Polya's formula.

In an international film festival, a panel of 11 judges was formed to judge the best film. At last two films F and F were considered to be the best where the opinion of judges got divided. Six judges were in favour of F whereas five in favour of FB. A random sample of five judges was drawn from the panel. Find the probability that out of five judges, three were in favour of film FA. Solve this problem withthe help of Polya's formula.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

In a large population, 55% of the people have been vaccinated. If 5 people are randomly vaccinated what is the probablility that at least one of them has been vaccinated?
Out of all families with 4 children, you select one family at random. What are the chances that the family you select has exactly 3 boys? Enter your answer as a decimal rounded to three decimal places (if necessary).
In a recent poll of voters, 20% were displeased with both candidates. If 3 people were picked at random. find the probability that at least one liked one of the candidates.
Divo was given a chance to win a prize by picking a rolled paper numbered 1, 2, 3, 4 and 5. If Divo has four chances to pick a number, find the probability that he picked an even number in the paper no more than two times on those four trials?
A national sports equipment co-op is going to conduct a survey of its members. It knows from collecting data when members join that 68% of them identify as male. Assuming the total number of members is very large and 200 of them are randomly selected to take the survey, what’s the chance less than 60% of these randomly chosen members identify as male? Show all your work and write your answer as a percentage.
Among a student group 51% use Google Chrome, 20% Internet Explorer, 10% Firefox, 5% Mozilla, and the rest use Safari. What is the probability that you need to pick 7 students to find 2 students using Google Chrome? Report answer to 3 decimals.
Bonnie and Connie are twins with identical purses. Bonnie needs 35 cents to pay for a parking meter. Suppose that Bonnie's purse has 5 quarters, 3 dimes, and 2 nickels while Connie's purse has 2 quarters, 5 dimes, and 3 nickels in it. Not being able to tell the difference between the purses, Connie picks one at random and grabs two coins from it. What is the probability that Bonnie picked her own purse given that she drew out enough change to pay for her parking meter? (Note: Bonnie needs to put in at least 35 cents to pay her parking meter.)
Peter took an MCQ based test. He had not prepared for the test and ended up guessing the answer for each of the MCQ. The test had a total of 10 MCQS. Each MCQ had 5 possible answers for selection. After the test, she is interested in calculating the probability of getting exactly 6 questions correct on this test?
A teacher will pick 1 student at random from 20 for the lead in a play. What is the probability of a student, Jo, of winning?