2.There are 16 members in Mathematics Society, where 7 of them are S4 students,6 of them are S5 students and the rest are S6 students. Now 6 students arerandomly selected from the society.(a) Find the probability at least two S6 students are selected.(b) Find the probability that there is at least one member in each form and at leasttwo of them are S6.

Answered: Image /qna-images/answer/29dadd65-856f-48d6-90cc-695a63a3e32c.jpg

Answered: 2. There are 16 members in Mathematics…

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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A group of 200 students were asked whether they played soccer or basketball. Among the group, 140 said they played soccer, 30 said they played basketball and 20 said they played both soccer and basketball. (i) Calculate the probability that a student selected at random from the group plays soccer given that he plays basketball. (ii) Calculate the probability that a student selected at random from the group plays basketball given that he plays soccer. (iii) Calculate the probability that a student selected at random from the group plays soccer given that he plays one sport only.
There are 10 candidates for one party’s presidential nomination, including 4 women and 6 men. Suppose that all the men are equally likely to win the nomination, and all the women are equally likely to win the nomination, but that each man is 2 times as likely as each woman to win the nomination. What is the probability that a man wins the nomination?
Airline A is on time 80% of the time, Airline B is on time 85% of the time, and Airline C is on time 90% of the time. Airline A has twice as many flights as Airline B, and Airline B has three times as many flights as Airline C. One flight is selected at random from one of these airlines. (a) What is the probability this flight on time? (b) Given that the flight is on time, what is the probability it is from Airline A?
Suppose a compact disk (CD) you just purchased has 19 tracks. After listening to the CD, you decide that you like 7 of the songs. The random feature on your CD player will play each of the 19 songs once in a random order. Find the probability that among the first 5 songs played (a) you like 2 of them; (b) you like 3 of them; (c) you like all 5 of them. (a) Find the probability that among the first 5 songs played you like 2 of them. (Round to four decimal places as needed.) (b) Find the probability that among the first 5 songs played you like 3 of them. (Round to four decimal places as needed.) (c) Find the probability that among the first 5 songs played you like all 5 of them. (Round to four decimal places as needed.)
Suppose a compact disk (CD) you just purchased has 18 tracks. After listening to the CD, you decide that you like 7 of the songs. The random feature on your CD player will play each of the 18 songs once in a random order. Find the probability that among the first 5 songs played (a) you like 2 of them; (b) you like 3 of them; (c) you like all 5 of them.
A bowl contains six blue chips and three red chips. Three chips are to be drawn successively at random and without replacement. Find the probability that the first draw results in a red-chip (A), the second draw results in a blue-chip (B), and the third draw results in a blue-chip (C).
A set of 8 cards contains 1 joker. A and B are 2 players and A chooses 5 cards at random, B taking the remaining 3 cards. What is the probability that A has the joker? From 12 eggs, 2 are bad. Among these 4 are chosen at random to make a cake. What are the probability that (i) exactly 1 is bad (ii) at least 1 is bad. A bag contains 14 identical balls, 4 of which are red, 5 black and 5 white. 6 balls drawn from the bag. Find the probability that (i) 3 are red (ii) at least 2 are white. 3 distinct integers are chosen at random from first 20 positive integers. Compute the probability that their sum is even. Find the probability that the product between 8 and 16 (both inclusive) appears in a single toss of a pair of fair die. Find the probability that a king, ace, jack or queen appears in drawing a single card from a well shuffled deck of 52 cards. An employer wishes to hire 3 people from a group of 15 applications, 8 men and 7 women, all of whom are equally…

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