Question

if two states are selected at random from a group of 10 states, determine the number of possible outcomes if the group of states are selected with replacement or without replacement. if the states are selected with replacement, there are \\(\square\\) possible outcomes.

Explanation:

Step1: Analyze the case with replacement

When selecting with replacement, for the first selection, there are 10 possible states. For the second selection, since we replace the state back, there are also 10 possible states.
The number of possible outcomes is calculated by the multiplication principle: \(n = 10\times10\)

Step2: Calculate the result

$$n=10\times10 = 100$$

Answer:

100