Math Problem Statement

Determine the number of possibilities if the 4-sided die is rolled and then the 10-sided die is rolled.

Solution

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The problem asks to calculate the total number of possibilities when rolling a 4-sided die and a 10-sided die.

Solution:

  1. A 4-sided die has 4 possible outcomes (1, 2, 3, 4).
  2. A 10-sided die has 10 possible outcomes (1, 2, 3, ..., 10).

The total number of possibilities when rolling both dice is the product of their individual possibilities:

Total possibilities=4×10=40\text{Total possibilities} = 4 \times 10 = 40

Answer:

There are 40 possibilities when the two dice are rolled.


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Related Questions:

  1. How would the answer change if a 6-sided die and a 12-sided die were used?
  2. What is the probability of rolling a specific combination with these two dice?
  3. How many possibilities are there if a 4-sided die and an 8-sided die are rolled?
  4. How can we represent the possible outcomes in a table or chart?
  5. What are the odds of rolling the maximum value on both dice in one roll?

Tip:

To calculate total possibilities for multiple dice, always multiply the number of outcomes for each die.

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Math Problem Analysis

Mathematical Concepts

Multiplication
Counting Outcomes

Formulas

Total possibilities = (outcomes of first die) × (outcomes of second die)

Theorems

Fundamental Principle of Counting

Suitable Grade Level

Grades 6-8