/*! 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 1103 A box contains 7 red, 5 white, a... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 35: Problem 1103

A box contains 7 red, 5 white, and 4 black balls. What is the probability of your drawing at random one red ball? One black ball?

Short Answer

Expert verified
The probability of drawing a red ball is \(\frac{7}{16}\), and the probability of drawing a black ball is \(\frac{4}{16}\).

Step by step solution

01

Calculate total number of balls

To calculate the probability, we first need to find out the total number of balls present in the box. The box contains 7 red, 5 white, and 4 black balls. Total balls = Red balls + White balls + Black balls Total balls = \(7+5+4\)
02

Calculate the probability of drawing a red ball

Now, we will find the probability of drawing a red ball. The probability is calculated as the ratio of the number of desired outcomes to the total number of outcomes. Probability of drawing a red ball = \(\frac{Number \ of \ red \ balls}{Total \ number \ of \ balls}\) Probability of drawing a red ball = \(\frac{7}{7+5+4}\)
03

Calculate the probability of drawing a black ball

Similarly, we can find the probability of drawing a black ball. Probability of drawing a black ball = \(\frac{Number \ of \ black \ balls}{Total \ number \ of \ balls}\) Probability of drawing a black ball = \(\frac{4}{7+5+4}\) Now we have calculated the probabilities for both a red and black ball. The answer is the Probability of drawing a red ball and Probability of drawing a black ball.

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!

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

If two dice are cast, what is the probability the sum will be less than 5 ?

Find the probability that when a pair of dice are thrown, the sum of the two up faces is greater than 7 or the same number appears on each face.

A coin is tossed 3 times. Find the probability that all are heads, (a) if it is known that the first is heads, (b) if it is known that the first 2 are heads, (c) if it is known that 2 of them are heads.

A bag contains 10 red, 15 green, and 5 yellow beads. If a single bead is drawn from the bag what is the probability (a) that the bead is red, and (b) that the bead is not red?

In a single throw of a single die, find the probability of obtaining either a 2 or a 5 .
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

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.