3. A bag contains three coins: two fair (Heads/Tails with probability 1/2) andone biased with both sides Heads. Assume you pick a random coin from the bag andtoss it n times, all of which result in Heads. What is the smallest number of n so thatyou are at least 99.99% certain that the coin you flipped is the biased one?

In the given case we need the value of n such that the probability of the selected coin being the…

Answered: 3. A bag contains three coins: two fair…

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

We have two coins. One is fair and the other is weighted to land on tails 3/4 of the time. Without knowing which coin we are choosing, we pick one at random, toss the coin, and get tails. What is the probability we flipped the biased coin?
2. A large population of crickets contains 30% who can chirp. Suppose 4 crickets are selected at random from this population, find the probability that (a) all can chirp, (b) at least one can chirp, and (c) exactly 2 can chirp.
If two cards are selected at random one afteranother. What is the probability that both cards contain a letter? If each card is i. Replaced. ii. Not replaced.
1. A city has 9 coffee shops: 3 Starbuck's, 2 Caribou Coffees, and 4 Crazy Mocho Coffees. If a person selects one shop at random to buy a cup of coffee, find the probability that it is either a Starbuck's or Crazy Mocho Coffees.
Q4. A shipment of two boxes, each containing eight telephones, is received by a store. Box 1 contains two defective phones and box 2 contains one defective phone. After the boxes are unpacked, and all phones are mixed. Then a phone is selected and that was found to be defective. Find the probability that it came from box 2.
Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fraction
Suppose we have 15 cans of soup with no labels, but 6 are tomato and 9 are pea soup. We randomly pick 8 cans and open them. Find the probability 3 are tomato.
21. A company in New Jersey is hiring 8 people for a position. Of the applicants, 10 are from New Jersey, 8 are from New York, and 7 are from Pennsylvania. What is the probability that of the 8 people hired, exactly 2 are from New Jersey, and what is the probability at least two are from New Jersey? Round off to 3 decimal places. _________ and ________
Assume for this problem that the company has 8 BMWs and 5 Hondas, and two cars are selected randomly and given to sales representatives. What is the probability of both cars being BMWs, given that both are of the same make?
A3. Suppose that Ahmed selects a ball by first picking one of the two boxes at random and selecting a ball from this box at random. The first box contains 3 white balls and 2 blue balls, and the second box contains 1 white balls and 4 blue balls. What is the probability that Ahmed picked a ball from the second box if he has selected a white ball?

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