
,

,

We find the probability of intersection using the inclusion/exclusion principle:

By definition of conditional probability,

For

and

to be independent, we must have

in which case we have

, which is true, so

and

are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have

which is also true.
Answer:
Slope-Intercept Form of a Line (y = mx + b)
Step-by-step explanation:
The slope-intercept is the most “popular” form of a straight line. Many students find this useful because of its simplicity. One can easily describe the characteristics of the straight line even without seeing its graph because the slope and y-intercept can easily be identified or read off from this form.
Answer:1
Step-by-step explanation:divided 2 by 2
Expressions can be represented as equations, and vice versa.
A possible situation is as follows:
<em>John is 15 years old, and his age is 3 more than 5 times his brother's age</em>
The equation is given as:

This means that:
- 15 represents John's age
- P represents his brother's age
- 5 and 3 are the constants that relate their ages
Read more about word equations at:
brainly.com/question/20518082