(b) During the match there is 15% chance of a player being injured in which case a replace-ment has to be sent in. How many students should be put on bench (including the 7players) for each team so that there is 95% probability of having enough replacementplayers for the entire match.(c) During a raid, there is 10% chance of tagging an opposing team member and success-fully returning back, 40% chance of being caught by that player and 50% chance ofreturning back without tagging. What is probability of scoring 1 point for the raid.What is the probability of scoring 4 points for the raid.Assume that the raider deals with each defender independently. Kabaddi is a popular sport in South Asia. The basic rules of Kabaddi aresimple: two teams of seven players each face off in a large square arena for two halves oftwenty minutes each. Players from each team take turns running across the center line tothe other team's half of the court ( called "raiding"), tagging members of the other team(4 people defending), and running back. The more opposing team members they tag, themore points they score (+1 point for each player he tags), but if the opposing team canphysically prevent them from crossing back to their side of the court, they score no points.During the sports week, a kabaddi match is going to be scheduled between the students ofSection A and C. Section A has 42 students while Section C has 35 students

First, we find the probability of one player, out of the 7 playing, getting injured using the…

(b) During the match there is 15% chance of a player being injured in which case a replace- ment has to be sent in. How many students should be put on bench (including the 7 players) for each team so that there is 95% probability of having enough replacement players for the entire match. (c) During a raid, there is 10% chance of tagging an opposing team member and success- fully returning back, 40% chance of being caught by that player and 50% chance of returning back without tagging. What is probability of scoring 1 point for the raid. What is the probability of scoring 4 points for the raid. Assume that the raider deals with each defender independently.

(b) During the match there is 15% chance of a player being injured in which case a replace- ment has to be sent in. How many students should be put on bench (including the 7 players) for each team so that there is 95% probability of having enough replacement players for the entire match. (c) During a raid, there is 10% chance of tagging an opposing team member and success- fully returning back, 40% chance of being caught by that player and 50% chance of returning back without tagging. What is probability of scoring 1 point for the raid. What is the probability of scoring 4 points for the raid. Assume that the raider deals with each defender independently.

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

A sculpted needs to make 3 wood sculptures to exhibit at an art gallery. There is a probability of 0.80 that every piece of wood he carved will be good enough to be a part of the exhibit. What is the probability that he needs to carve 5 or less pieces of wood in order to produce 3 good wood sculptures for the art gallery?
Suppose that a bag contains one white chip and two red chips. Chips are going to be selected at random from the bag with replacement. What is the probability of selecting a white chip from the bag? What is the probability of selecting a red chip from the bag? Are the outcomes of selecting a white chip and selecting a red chip equally likely? Two chips are selected from the bag with replacement. Is the probability of selecting two white chips greater than, equal to, or less than the probability of selecting two red chips? Explain your answer.
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?
There are 5 red eggs and 9 green eggs in a tank. Grogu reaches in and randomly eats 3 eggs. What is the probability that he eats 2 red eggs?
A bag contains 3 mint chocolates, and 4 cherry chocolates. After two chocolates are removed, what is the greatest possible probability of picking a cherry chocolate?
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.
If a seed is planted, it has a 80% chance of growing into a healthy plant. If 6 seeds are planted, what is the probability that exactly 2 don't grow?
For the same bag of candy with 6 colors in equal amounts, what is the probability of drawing a yellow candy and a blue candy when drawing two subsequent pieces from the bag (assume the first candy is put back in the bag and mixed before the second draw)
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?