Math Problem Statement
Solution
To determine how many outcomes are possible when you roll a die, pick a card, and spin the spinner, we need to multiply the number of possible outcomes for each event:
- Rolling a die: There are 6 possible outcomes (the numbers 1 to 6).
- Picking a card: There are 6 possible outcomes (since there are 6 cards labeled from 1 to 6).
- Spinning the spinner: The spinner is divided into 4 sections, labeled "N," "K," "M," and "L." Thus, there are 4 possible outcomes.
Now, to find the total number of possible outcomes, we multiply the number of outcomes for each event:
Thus, there are 144 possible outcomes.
Would you like further details or have any other questions?
Here are 5 related questions to expand on this concept:
- What if the die had 8 sides? How many outcomes would be possible?
- What is the probability of rolling a 4, picking the card labeled "3," and landing on "M"?
- If you removed one card, how would that affect the total number of outcomes?
- How does the concept of independent events apply in this scenario?
- How could you calculate the probability of landing on a specific card, number, and letter combination?
Tip: When calculating outcomes for independent events, always multiply the number of possibilities for each event!
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Math Problem Analysis
Mathematical Concepts
Probability
Multiplication Principle of Counting
Formulas
Total outcomes = number of outcomes (die) × number of outcomes (card) × number of outcomes (spinner)
Theorems
Multiplication Principle of Counting
Suitable Grade Level
Grades 4-6
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