Chapter 13: Counting and Probability

Determine whether the following is a probability model.

Compute the given expression.

$P\left(8,3\right)$

If$n\left(A\right)=15,n\left(B\right)=20,n\left(A\cap B\right)=10$. find$n\left(A\cup B\right)$.

In Problems 11–16, construct a probability model for each experiment.

Tossing a fair coin twice.

Find the value of each permutation.

$P(7,0)$

On February 20, 2004, the Ohio Bureau of Motor Vehicles unveiled the state’s new license plate format. The plate consists of three letters (A–Z) followed by 4 digits (0–9). Assume that all letters and digits may be used except that the third letter cannot be O, I, or Z. If repetitions are allowed, how many different plates are possible?

Graph:$y=3\sin (2x+\mathrm{\pi })$

Compute the given expression.

$C\left(8,3\right)$

If $n\left(A\right)=30,n\left(B\right)=40,n\left(A\cup B\right)=45$, find $n\left(A\cap B\right)$.

Solve the following triangle and determine its area.