2. From a group of 12 people, what is the probability that:a) none share a birthdayb) at least two of them share the same birthday?

Probability is the measure of likelihood. It is calculated by dividing the number of favorable…

Answered: 2. From a group of 12 people, what is…

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

a group of 200 students includes 120 who watch television news, 80 who read a newspaper, and 60 who watch television and read a newspaper. if a student is selected at random, find the probability that the student will a) watch television news or read a newspaper? b) neither watch television news nor read a newspaper? c) only watch television news? d) only read a newspaper?
Suppose there are 8 lightbulbs, 5 of which are bad, in a box. If the light bulbs are chosen at random, what is the probability that: a) the first three you chose are all good? b) at least one of the first three is good? c) you must pick four bulbs to find one that is good?
A photocopying machine produces, on average, 1 defective photocopy out of every 50 pagescopied.a) What is the probability that, when photocopying a 40pagearticle, the machine willproduce no more that 2 defective pages?b) What is the probability that the eleventh photocopied page will be the first defective?c) How many pages do you expect to photocopy to produce the third defective page?d) You are to photocopy 5 books of 100 pages each. What is the probability that thephotocopies of only 2 of the books will contain defective pages?
) A card is drawn at random from a deck. What is the probability it is a red card? What is the probability it is an ace? What is the probability it is both red AND an ace?
A standard provincial landline telephone number in Cavite contains area code of 3 digits and telephone number of 6 digits.a. How many possible telephone numbers with area code are there in which no digit is repeated?b. What is the probability that the generated numbers are all 8s or all 9s?
10. Every day the average number of wrong numbers received by a certain mail-order house is two.What is the probability that this house receives a) 3 wrong calls tomorrow? b) At least 1 wrong call tomorrow?
A group of 12 students are located in the following time zones: 3 PST, 2 MST, 2 CST, 5 EST.Four students are randomly selected from this group.a) What is the probability that they are in the same time zone?b) What is the probability that they are all in different time zones?c) What is the probability that exactly two time zones will be represented in this group?
According to CTIA, 41% of all U.S households are wireless-only households (no landline). In a random sample of 20 households, what is the probability that- a) Exactly 5 are wireless-only b) Fewer than 3 are wireless-only c) At least 3 are wireless-only d) The number of households that are wireless-only is between 5 and 7, inclusive?
10. If the probability that an item is defective is 0.08, what is the probability that among 8 such items: a) At most two will be defective? b) At least four will be defective?
4) In Toronto, Canada, 55% of people pass the drivers’ road test. Suppose that 100 people take the test. d) What is the probability that at least 49 passed? e) What is the probability that at most 45 passed?
A)Five sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can the gold, silver, and bronze medals be awarded? B)At the College of Charleston, it was found that 70% of students are taking a home economics class, 77% of students are taking a Spanish class, and 66% of students are taking both. Find the probability that a randomly selected student is taking a home economics class or a Spanish class. You may answer with a fraction or a decimal rounded to three places if necessary.

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2. From a group of 12 people, what is the probability that: a) none share a birthday b) at least two of them share the same birthday?