/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 18 Express the indicated degree of ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 18

Express the indicated degree of likelihood as a probability value between 0 and \(1 .\) Based on an Adecco survey of hiring managers who were asked to identify the biggest mistakes that job candidates make during an interview, there is a \(50-50\) chance that they will identify "inappropriate attire."

Short Answer

Expert verified
0.5

Step by step solution

01

Understand the Likelihood Given

The problem states that there is a '50-50' chance of hiring managers identifying 'inappropriate attire' as a big mistake during an interview.
02

Convert the Likelihood to a Probability

'50-50' chance means that there is an equal likelihood for the event to occur or not occur. This can be represented as a fraction where both the numerator (successful outcomes) and the denominator (total outcomes) are equal.
03

Write the Fraction

A '50-50' chance can be written as the fraction \( \frac{1}{2} \) indicating that there is one successful outcome out of two possible outcomes.
04

Convert the Fraction to a Decimal

To express this as a probability value between 0 and 1, simply divide the numerator by the denominator: \( \frac{1}{2} = 0.5 \).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

likelihood
When we talk about the likelihood of an event, we are referring to how probable it is that said event will occur. In the context of probability, likelihood is often expressed as a percentage, fraction, or decimal. In the given exercise, the phrase '50-50' represents an equal chance of two outcomes: one where the event occurs and one where it does not.
fraction to decimal conversion
Converting a fraction to a decimal is an important skill in understanding and working with probabilities. The fraction given in the example is \(\frac{1}{2}\). To convert any fraction to a decimal, you simply divide the numerator (the top number) by the denominator (the bottom number). In this case, \(\frac{1}{2}\) becomes 0.5. This method can be used for any fraction, allowing you to easily express probabilities in a decimal form.
probability value
A probability value quantifies the likelihood of an event occurring and is always between 0 and 1, where 0 means the event will not happen and 1 means it certainly will. In the exercise, the '50-50' chance is converted to a probability value of 0.5. This tells us that there is an equal chance for the event (hiring managers identifying 'inappropriate attire') to happen or not happen, which is useful in decision-making and predictions.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find the probability and answer the questions. On their first date, Kelly asks Mike to guess the date of her birth, not including the year. a. What is the probability that Mike will guess correctly? (Ignore leap years.) b. Would it be unlikely for him to guess correctly on his first try?

Express all probabilities as fractions. You want to obtain cash by using an ATM, but it's dark and you can't see your card when you insert it. The card must be inserted with the front side up and the printing configured so that the beginning of your name enters first. a. What is the probability of selecting a random position and inserting the card with the result that the card is inserted correctly? b. What is the probability of randomly selecting the card's position and finding that it is incorrectly inserted on the first attempt, but it is correctly inserted on the second attempt? (Assume that the same position used for the first attempt could also be used for the second attempt.) c. How many random selections are required to be absolutely sure that the card works because it is inserted correctly?

Find the indicated complements. In a Harris survey, adults were asked how often they typically travel on commercial flights, and it was found that \(P(N)=0.330\), where \(N\) denotes a response of "never." What does \(P(\bar{N})\) represent, and what is its value?

Express all probabilities as fractions. As of this writing, the Powerball lottery is run in 44 states. Winning the jackpot requires that you select the correct five different numbers between 1 and 69 and, in a separate drawing, you must also select the correct single number between 1 and \(26 .\) Find the probability of winning the jackpot.

Find the probability and answer the questions. Each of two parents has the genotype brown/blue, which consists of the pair of alleles that determine eye color, and each parent contributes one of those alleles to a child. Assume that if the child has at least one brown allele, that color will dominate and the eyes will be brown. (The actual determination of eye color is more complicated than that.) a. List the different possible outcomes. Assume that these outcomes are equally likely. b. What is the probability that a child of these parents will have the blue/blue genotype? c. What is the probability that the child will have brown eyes?
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.