what is the probability that the person drawing the names is a math major? b. How many ways can the group of students be formed if there are no restrictions on composition? c. How many ways can three math majors be chosen? d. How many ways can 1 computer science major be chosen? e. What is the probability that the random selection of the four-person group will result in three math majors and 1 computer science major?

what is the probability that the person drawing the names is a math major? b. How many ways can the group of students be formed if there are no restrictions on composition? c. How many ways can three math majors be chosen? d. How many ways can 1 computer science major be chosen? e. What is the probability that the random selection of the four-person group will result in three math majors and 1 computer science major?

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 certain lottery, an urn contains balls numbered 1 to 30. From this urn, 5 balls are chosen randomly, without replacement. For a $1 bet, a player chooses one set of five numbers. To win, all five numbers must match those chosen from the urn. The order in which the balls are selected does not matter. What is the probability of winning this lottery with one ticket?
Consider a political discussion group consisting of 4 Democrats, 9 Republicans, and 6 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting two Democrats.
A. The Computer Geek Org has 23 members: 3 freshmen, 5 sophomore, 7 junior, and 8 senior students. If you are going to pick a certain number of name/s at random, at least how many should you pick to make sure that you have 2 students with the same year level? Use the pigeonhole principle and state your conclusion.
The Olympic flag consists of five intertwined circles, one in each of the colors black, blue, green, red, and yellow. What is the probability that a random coloring of the five circles using these colors will produce the exact match of the Olympic symbol? Question 14Select one: a. 1/120 b. 5/120 c. 1/5 d. 1/3125
Solve the following counting and probability problem.How many permutations of the letters in word ACCOMMODATIONAL have consonants in the first two positions and vowels in the last two positions?
event. The first card is a club and the second is a spade.
A. Suppose you close your eyes and randomly select one M&M from your pile, find the probability of grabbing a color that contains the letter “r”or a color that contains the letter “o”. B. Suppose you close your eyes and randomly select one M&M from your pile, replace that M&M, and select another M&M from the pile. What is the probability that you will select an orange and a yellow M&M? C. Suppose you close your eyes and randomly select two M&M’s from your pile, without replacing the first M&M. What is the probability that you will select a red and a blue M&M?
a. Find the sample space using a tree diagram to show the possibilities Elaine has to choose a mattress. b. What is the probability that Elaine chooses a memory foam-topped mattress? Write the number of ways Elaine chooses a memory foam-topped mattress. (Refer to sample space)
6. A bookstore is giving out bookmarks to its customers. Customers can choose from 4 colors (green, red, orange, or blue) and 2 styles (cloth or paper). a. Use a tree diagram to find all the possible bookmark types. b. Spencer picks a bookmark at random from a box that contains one bookmark of each type. What is the probability that he will choose an orange cloth bookmark?
A group consists of five men and six women. Five people are selected to attend a conference. a. In how many ways can five people be selected from this group of eleven? b. In how many ways can five women be selected from the six women? c. Find the probability that the selected group will consist of all women. a. The number of ways to select five people from the group of eleven is b. The number of ways to select five women from the group of six women is c. The probability is. (Type an integer or a simplified fraction.) G
Consider the case where six Scrabble tiles labeled A, B, C, D, E, and T are placed in a bag, and then three tiles are drawn from the bag simultaneously. A. Compute the number of possible outcomes (Show your work IN DETAIL). B. What is the probability that the tiles drawn can be used to spell ACT? C. What is the probability that the tiles drawn can be used to spell ACT, BAT, CAT, or TAB?
Consider an experiment in which there are 4 groups and within each group there are 12 participants. What is the degrees of freedom for the denominator (within)?