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?
Suppose that Alan is taking a multiple choice quiz where there are 3 choices for each question. Suppose he randomly guesses on 4 questions. What is the probability that he gets none of the 4 questions correct ?
A jury of 14 people is selected from 26 people: 13 women and 13 men. What is the probability (to the nearest ten-thousandth) that the jury will have 7 men and 7 women?
A small computer lab has 2 terminals. The number of students working in this lab is recordedat the end of every hour. A computer assistant notices the following pattern:- If there are 0 or 1 students in a lab, then the number of students in 1 hour has a50-50% chance to increase by 1 or remain unchanged. - If there are 2 students in a lab, then the number of students in 1 hour has a 50-50%chance to decrease by 1 or remain unchanged. (a) Write the transition probability matrix for this Markov chain.(b) Suppose there is nobody in the lab at 7 am. What is the probability of nobody workingin the lab at 10 am?
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.
Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.
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?
In a suitcase there are 5 orange, y green, (y+2) grey and 6 yellow pens. Probability of choosing one green pen from the given suitcase is 1/3. What is the sum of the number of green, grey and yellow pens?