if events X and Y are independent, then for intersection we multiply the probability
P(Y∩X) = P(Y) * P(X)
We know that
Now we replace P(Y) * P(X) for P(Y∩X)
Cancel out P(X)
So 
Like that
Now we replace P(X) * P(Y) for P(X∩Y)
Cancel out P(Y)
So 
P(Y | X) = P(Y) and P(X | Y) = P(X) are true
4.4652 square feet. you just multiply the two
The team scored twenty-three points in total.
This word sum can be worked out as follows:
Three field goals worth three points each is equal to nine points (3 x 3 = 9).
Two touchdowns were scored; each touchdown is worth six points. This equals twelve points (2 x 6 = 12).
Lastly, the team was awarded a bonus point for each touchdown they scored. They scored two touchdowns so they were awarded two extra points (2 x 1 = 2).
Therefore, we have three subtotals: nine for the field goals; twelve for the touchdowns and two for the bonus points. The equation for this word sum is 9 + 12 + 2 = 23
The sample space for the 3 different music CDs is as follows:
{JPR, JRP, PJR, PRJ, RJP, RPJ}
