Multiple Choice
How many options are there for license plates with any three letters (A-Z) followed by any 3 numbers (0-9)?
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4. Probability
Fundamental Counting Principle
Multiple Choice
How many possible outcomes are there if you roll 5 dice?
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Verified step by step guidance1
Understand that each die has 6 faces, numbered from 1 to 6. When you roll a die, there are 6 possible outcomes.
Since you are rolling 5 dice, you need to consider the number of outcomes for each die independently.
For each die, there are 6 possible outcomes. Therefore, for 5 dice, you multiply the number of outcomes for each die.
Use the formula for calculating the total number of outcomes when rolling multiple dice: \(6^n\), where \(n\) is the number of dice.
Substitute \(n = 5\) into the formula to find the total number of possible outcomes: \(6^5\).
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