Question

Suppose the odds in favor of Barry Blunt marrying Sally Sharp are 3:5 (3 to 5 ). Find the probability that they will get married.

Name: Problem 72, Chapter 2: Probability, Statistics, and Queuing Theory with Computer Science Applications, Second Edition (Computer Science and Scientific Computing)
Uploaded: 2020-05-13T17:22:07-08:00
Duration: 1 min 20 s
Channel: Julian Wong
Description: Suppose the odds in favor of Barry Blunt marrying Sally Sharp are 3:5 (3 to 5 ). Find the probability that they will get married.

   Suppose the odds in favor of Barry Blunt marrying Sally Sharp are 3:5 (3 to 5 ). Find the probability that they will get married.

Probability, Statistics, and Queuing Theory with Computer Science Applications, Second Edition (Computer Science and Scientific Computing)

Arnold O. Allen 2nd Edition

Chapter 2, Problem 72

Instant Answer

Solved by Expert Julian Wong

05/13/2020

Step 1

The odds in favor of an event occurring are given as a ratio of the probability that the event will happen to the probability that the event will not happen. In this case, the odds in favor of Barry Blunt marrying Sally Sharp are given as 3:5. This means that for Show more…

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Suppose the odds in favor of Barry Blunt marrying Sally Sharp are 3:5 (3 to 5 ). Find the probability that they will get married.

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Key Concepts

Conversion Between Odds and Probability

To convert odds in favor to probability, you add the numbers in the ratio to get the total number of outcomes and then divide the number of favorable outcomes by this total. This process turns the odds into a probability expressed as a fraction or decimal.

Odds in Favor

Odds in favor represent a ratio that compares the number of favorable outcomes to the number of unfavorable outcomes. In probability theory, this ratio helps gauge how likely an event is to occur relative to it not happening.

Probability

Probability is the measure of the likelihood that a certain event will occur, calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes. It quantifies uncertainty and is expressed on a scale from 0 to 1.

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