Answered: What is the probability of all heads in…

Math

Probability

What is the probability of all heads in three tosses of a coin if you know that at least one is a head?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 7ECP: You draw one card at random from a standard deck of 52 playing cards. What is the probability that...

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Question

involve calculations of conditional probabilities. You may use Bayes' Theorem together with any of the 10 rules of probability theory to solve the following problems. For each problem, specify the sample space S, specify the event using E or F (with or without subscripts) and make sure you cite the rule you're using in each step of your solution. These problems are one question split into three parts, please answer all three.

What is the probability of all heads in three tosses of a coin if you know that at least one is a head?
Suppose it is known that 1% of the population have dipsydoodleitis. It is also known that a test for this
disease is positive in 99% of the people who have it but it is also positive in 2% of the people who do
not have it. What is the probability that a person who tests positive has dipsydoodleitis?

In a family of two children, what is the probability that both are girls if at least one is a girl?

Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.

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