3. An art dealer receives a shipment of five old paintings from abroad, and, on the basis of pastexperience, she feels that the probabilities are respectively, 0.76, 0.09, 0.02, 0.01, 0.02 and 0.10 that0,1,2,3,4 or all 5 of them are forgeries. Since the cost of authentication is fairly high, she decides toselect one of the five paintings at random and send it away for authentication. If it turns out that thispainting is a forgery, what probability should she now assign to the possibility that all the otherpaintings are also forgeries? Note that the answer is not 0.1.

Answered: Image /qna-images/answer/0c995559-4067-4cb9-b833-e509704c712d.jpg

Answered: 3. An art dealer receives a shipment of…

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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3
1. Why is it so much more likely that some pair of people at a party will have the same birthday, than that someone at the party will have a birthday today?
A bag of M&M's has 6 red, 2 green, 4 blue, and 3 yellow M&M's. Suppose you randomly select two M&M's from the bag one at a time without replacing the first M&M. Let A = first M&M is blue and B = second M&M is green.Find the following probabilities. (Write your answers as fractions.)a) P(A) = b) P(B | A) = c) P(A and B) =
2. How do you think we could calculate the exactprobability that some pair out of 5 people has the same birthday? [Hint: This is equal to one minus the probability that no pair has the same birthday, i.e. that every birthday is different.]. Write down the way you would calculate this.
30. The chess clubs of two schools consists of, respectively, 8 and 9 players. four members from each club are randomly chosen to participate in a contest between the two schools. The chosen players from one team are then randomly paired with those from the other team, and each pairing plays a game of chess. Suppose that Rebecca and her sister Elise are on the chess clubs at different schools. What is the probability that exactly one of Rebecca and Elise will be chosen to represent her school? Show the STEP-BY-STEP SOLUTION CLEARLY. SHOW EXPLAMATIONS IF NECESSARY.
7. A drawer contains 6 black socks, 4 brown socks, and 2 green socks. Suppose one sock is drawn from the drawer and that it is equally likely that any one of the socks is drawn. Find the probabilities for each of the following: a. The sock is brown b. The sock is either black or green c. The sock is red d. The sock is not black
8 -The probability of an investor to invest his savings in foreign currency is 0.45, the probability of investing in gold is 0.42, and the probability of buying government bonds is 0.37. In addition, the probability of investing in foreign currency and gold together is 0.10, the probability of buying both foreign currency and government bonds is 0.12, the probability of buying both gold and government bonds is 0.20, and the probability of buying all three is 0.05. What is the probability that this investor will invest his savings in foreign currency or not in gold?a)0.65 B)0.05 NS)0.58 D)0.78 TO)0.35
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