10ways of choosing the seven envelopes into which the red cards will be placed. There8. There are7ways of choosing exactly j red envelopes and 7 – j green envelopes. Therefore, theareprobability that exactly j red envelopes will contain red cards is

In the given case we are given the total number of possible outcomes given by 10C7 and it can be…

Answered: 8. There are 10 ways of choosing the…

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...

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Similar questions

There are 12 unmatched socks in your drawer. 6 are black, 4 are white and 2 are brown. What is the probability that if you already randomly choose one of the black socks, that you will choose another black sock?
A spinning wheel has 5 sections with hidden rewards. The probability of landing on any section is equally likely. Only one of the sections contains an actual reward (the other four are empty). An enthusiastic kid purchases 10 spins a. What is the probability that he earns a reward in all 10 spins b. What is the probability 7th spin is the first one with reward c. What is the probability that he has to spin 8 times to get 2 rewards
There are 500 foundation students. 150 students preferred UPAD Major. 200 students are male and 100 of them preferred Engineering majors. 100 of the female students preferred IBSM and another 100 female students preferred Engineering majors. If one student is selected at random from this group, find the probability that this student
A bag contains 5 white and 8 red balls. Two drawings of 3 balls are made such that (a) the balls are replaced before the second trial, and (b) the balls are not replaced before the second trial. Find the probability that the first drawing will give 3 white and the second 3 red ball in each case.
36 employees work in a company X. For a special purpose, the Chairperson of that company chose 8 employees’ names and kept his selection secret. The Deputy Director and the General Manager also chose 4 and 5 employees respectively without letting each other know about their selections. (There might be common employees within DD’s choices and GM’s choices ). What is the probability that exactly 1 of DD’s chosen employees and 2 of GM’s chosen employees match the list of the Chairperson?
Bangladesh has 57 rivers. Turjo chooses 10 river names not letting Zawad know. After that Zawad chooses 5 Bangladeshi river names secretly again from those 57. What is the probability that at most 3 of Zawad’s selected rivers match Turjo’s choices?
Consider 3 bolws. The bowl A has 5 white balls and 9 red balls, the bowl B has 3 white balls and 7 red balls, and the bowl C has 9 white balls and 4 red balls. A single ball is selected from the bowl A and is transfer to the bowl B, Then a ball is selected from the bowl B and is transfer to the bowl C, Finaly we select a single ball form the bowl C. Whats the probability that the ball selected from the bowl C is White?
A project group of 9 people will be formed among the engineers working in an enterprise. There are 10 mechanical, 6 electrical and 4 industrial engineers working in the enterprise. What is the probability that there will be 4 machines, 3 electrical and 2 industrial engineers in the project group. Solutions will be made using probability distribution functions 2

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8. There are 10 ways of choosing the seven envelopes into which the red cards will be placed. There 3 ways of choosing exactly j red envelopes and 7 - į green envelopes. Therefore, the are probability that exactly j red envelopes will contain red cards is