antitative Literacy
Hannah thompson 03/20/25 8:55 PM
Question 2, 11.4.5
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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 possible outcomes.

Question

antitative Literacy
Hannah thompson 03/20/25 8:55 PM
Question 2, 11.4.5
HW Score: 10%, 1 of 10 points
Part 1 of?
Pointar 0 of 1
Savo

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

possible outcomes.

UpStudy AI · Accepted Answer

**Step 1. Understanding the Problem**

We have a total of $$10$$ states and we are selecting states with replacement. When selection is done with replacement, the same state may be chosen more than once.

**Step 2. Determine the Number of Outcomes**

Since the first state can be any one of the $$10$$ states, there are $$10$$ possible outcomes for the first selection. Because the state is replaced, there are again $$10$$ possible outcomes for the second selection.

Thus, the total number of possible outcomes is given by

$$
10 \times 10 = 100
$$

**Final Answer**

If the states are selected with replacement, there are $$100$$ possible outcomes.
If the states are selected with replacement, there are 100 possible outcomes.

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