Sources of Energy Uses in the United States A break- down of...

Sources of Energy Uses in the United States A break- down of the sources of energy used in the United States is shown below. Choose one energy source at random. Find the probability that it is a. Not oil b. Natural gas or oil c. Nuclear $$ \begin{array}{lll}{\text { Oil } 39 \%} & {\text { Natural gas } 24 \%} & {\text { Coal } 23 \%} \\ {\text { Nuclear } 8 \%} & {\text { Hydropower } 3 \%} & {\text { Other } 3 \%}\end{array} $$

Sources of Energy Uses in the United States A break- down of the sources of energy used in the United States is shown below. Choose one energy source at random. Find the probability that it is
a. Not oil
b. Natural gas or oil
c. Nuclear
$$
\begin{array}{lll}{\text { Oil } 39 \%} & {\text { Natural gas } 24 \%} & {\text { Coal } 23 \%} \\ {\text { Nuclear } 8 \%} & {\text { Hydropower } 3 \%} & {\text { Other } 3 \%}\end{array}
$$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Basic Probability

This concept involves calculating the likelihood of an event occurring by comparing the number of favorable outcomes to the total number of outcomes in the sample space. In problems like these, percentages represent the proportion of each outcome, which directly translate into probabilities.

Complement Rule

The complement rule is used to determine the probability that an event does not occur. It is based on the principle that the sum of the probability of an event and the probability of its complement equals 1. This rule is applied, for example, when finding the probability that the chosen energy source is 'not oil.'

Addition Rule for Mutually Exclusive Events

This rule states that if two events cannot occur simultaneously, the probability of either event occurring is the sum of their individual probabilities. It is used in scenarios such as finding the probability that the energy source is either 'natural gas' or 'oil,' where these two outcomes do not happen at the same time.

Transcript

Please give Ace some feedback