Chapter 12: Q27. (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, white, white).

Short Answer

Expert verified

The required probability is $\frac{22}{325}$ .

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 white chips and one chip from white chips.

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

Second chip: P (white) $= \frac{12}{25}$

Third chip: P (white) $= \frac{11}{24}$

P (red, white, white) $= \frac{8}{26} \times \frac{12}{25} \times \frac{11}{24} = \frac{22}{325}$

Therefore the required probability is $\frac{22}{325}$ .

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$x =$ Number of televisions	probability
1	0.18
2	0.36
3	0.34
4	0.08
$5 +$	0.04

Outcome	Frequency
heads	25
tails	75

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, white, white).

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).

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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, white, white).

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

Applied Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

Calculus

Mechanics Maths

Discrete Mathematics

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, white, white).