Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN: 9781305071742
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: Cengage Learning
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Concept explainers

Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosi…
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the prob…
Question

A bag contains total 30 balls out of which 9 are red, 12 are white and 9 are blue. Two balls are drawn in succession without replacement.
What is the probability that first is red and second is white?

Expert Solution
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Step 1

Let us first find probability that the first ball is red. For that we will need the following.

Since, there are total 30 balls out which 9 are red, we have:

Probability homework question answer, Step 1, Image 1
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Step 2

Probability (P1), that the first ball is red, is now given as:

Probability homework question answer, Step 2, Image 1
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Step 3

Let us now find probability that the second ball is white. For that we will need the following.

Since, one ball is already drawn; total balls left, now, are 29 out of which 12 are white. We have:

Probability homework question answer, Step 3, Image 1
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