Chapter 12: Q26. (page 796)

A box contains 8 red chips, 6 blue chips, and 12 white chips. Three chips are randomly drawn from the box and are not replaced.
Determine P(red, red, red).

Short Answer

Expert verified

The required probability is $\frac{7}{325}$ .

Step by step solution

Step 1. Define the meaning of probability.

The probability is a measure of the likelihood of an event to occur.

Step 2. Define the meaning of random event.

A random event is an event whose outcome is unpredictable.

Step 3. Determine the probability P(red, red, red).

Since, the three chips are randomly drawn from the box and are not replaced.

To determine the probability, choose one chip from red chips, one chip from red chips and one chip from red chips.

First chip: P(red) $= \frac{8}{26}$

Second chip: P (red) $= \frac{7}{25}$

Third chip: P (red) $= \frac{6}{24}$

P (red, red, red) $= \frac{8}{26} \times \frac{7}{25} \times \frac{6}{24} = \frac{7}{325}$

Therefore the required probability is $\frac{7}{325}$ .

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

A box contains 8 red chips, 6 blue chips, and 12 white chips. Three chips are randomly drawn from the box and are not replaced.
Determine P(red, red, red).

Short Answer

Step by step solution

Step 1. Define the meaning of probability.

Step 2. Define the meaning of random event.

Step 3. Determine the probability P(red, red, red).

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Mechanics Maths

Statistics

Decision Maths

Calculus

Study anywhere. Anytime. Across all devices.

A box contains 8 red chips, 6 blue chips, and 12 white chips. Three chips are randomly drawn from the box and are not replaced.Determine P(red, red, red).

Short Answer

Step by step solution

Step 1. Define the meaning of probability.

Step 2. Define the meaning of random event.

Step 3. Determine the probability P(red, red, red).

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Mechanics Maths

Statistics

Decision Maths

Calculus

Study anywhere. Anytime. Across all devices.

A box contains 8 red chips, 6 blue chips, and 12 white chips. Three chips are randomly drawn from the box and are not replaced.
Determine P(red, red, red).