1. (a) At a fair, a vendor has 25 helium balloons on strings: 10 balloons areyellow, 8 are red, and 7 are green. A balloon is selected at random and sold.Given that the balloon sold is yellow, what is the probability that the nextballoon selected at random is also yellow?(b) There is a new diagnostic test for a disease that occurs in about 0.05% ofthe population. The test is not perfect but will detect a person with thedisease 99% of the time. It will, however, say that a person without thedisease has the disease about 3% of the time. A person is selected at randomfrom the population and the test indicates that this person has the disease.What are the conditional probabilities that(i) the person has the disease?(ii) the person does not have the disease?

Hello! As you have posted 2 different questions, we are answering the first question . In case you…

a) At a fair, a vendor has 25 helium balloons on strings: 10 balloons are yellow, 8 are red, and 7 are green. A balloon is selected at random and sold. Given that the balloon sold is yellow, what is the probability that the next palloon selected at random is also yellow?

a) At a fair, a vendor has 25 helium balloons on strings: 10 balloons are yellow, 8 are red, and 7 are green. A balloon is selected at random and sold. Given that the balloon sold is yellow, what is the probability that the next palloon selected at random is also yellow?

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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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

1. (a) At a fair, a vendor has 25 helium balloons on strings: 10 balloons are
yellow, 8 are red, and 7 are green. A balloon is selected at random and sold.
Given that the balloon sold is yellow, what is the probability that the next
balloon selected at random is also yellow?
(b) There is a new diagnostic test for a disease that occurs in about 0.05% of
the population. The test is not perfect but will detect a person with the
disease 99% of the time. It will, however, say that a person without the
disease has the disease about 3% of the time. A person is selected at random
from the population and the test indicates that this person has the disease.
What are the conditional probabilities that
(i) the person has the disease?
(ii) the person does not have the disease?

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