Domanda del libro di testo
Use the formula for nCr to evaluate each expression. 10C6
54
views
Ch. 8 - Sequences, Induction, and Probability
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
Non è quello che usi tu?Cambia libro di testoScegli un libro di testo diverso
TOC.tableOfContents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
Capitolo 9, Problema 11
In Exercises 11–16, a die is rolled. Find the probability of getting a 4.
Guida verificata passo dopo passo1
Step 1: Understand the problem context. A standard die has 6 faces, numbered from 1 to 6, and each face is equally likely to appear when rolled.
Step 2: Identify the total number of possible outcomes. Since the die has 6 faces, the total number of outcomes is \(6\).
Step 3: Determine the number of favorable outcomes. We want the probability of rolling a 4, so there is only 1 favorable outcome (the face showing 4).
Step 4: Use the probability formula: \(\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}\).
Step 5: Substitute the values into the formula: \(\text{Probability of getting a 4} = \frac{1}{6}\).
Risposta video verificata per un problema simile:
Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
1mConcetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Sample Space
The sample space is the set of all possible outcomes of an experiment. For a single roll of a standard die, the sample space consists of six outcomes: {1, 2, 3, 4, 5, 6}. Understanding the sample space is essential to calculate probabilities accurately.
Video consigliato:
5:37
Introduction to Probability
Event
An event is a specific outcome or a set of outcomes from the sample space. In this question, the event is rolling a 4, which is a single outcome within the sample space. Identifying the event helps in determining the favorable outcomes.
Video consigliato:
4:23Complementary Events
Probability Calculation
Probability is calculated as the ratio of favorable outcomes to the total number of possible outcomes. For rolling a 4 on a die, the probability is 1 favorable outcome divided by 6 total outcomes, resulting in a probability of 1/6.
Video consigliato:
5:37Introduction to Probability
Pratica correlata
Domanda del libro di testo
Use the formula for nCr to evaluate each expression. 11C4
582
views
Domanda del libro di testo
Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of each sequence with the given first term, a1 and common ratio, r. Find a12 when a1 = 5, r = - 2
919
views
Domanda del libro di testo
In Exercises 10–11, express each sum using summation notation. Use i for the index of summation. 1/3 + 2/4 + 3/5 + ... + 15/17
976
views
Domanda del libro di testo
In Exercises 1–12, write the first four terms of each sequence whose general term is given. an=(−1)n+1/(2n−1)
719
views
Domanda del libro di testo
Write the first six terms of each arithmetic sequence. an = an-1 -10, a1 = 30
1007
views