Math Problem Statement
Solution
Let's solve this probability problem step-by-step.
Problem Breakdown
- Coin Flip: There are two possible outcomes – "heads" or "tails."
- Die Roll: A six-sided die has outcomes numbered from 1 to 6.
The problem asks for the probability of flipping "heads" and rolling a number greater than 3.
Step 1: Calculate Individual Probabilities
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Probability of Flipping Heads: Since there are two sides to the coin, the probability of getting "heads" is:
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Probability of Rolling a Number Greater than 3:
- The numbers greater than 3 on a six-sided die are 4, 5, and 6.
- There are three favorable outcomes (4, 5, and 6) out of six possible outcomes (1 through 6).
Step 2: Calculate the Combined Probability
Since flipping the coin and rolling the die are independent events, we multiply the probabilities:
Final Answer
The probability of flipping "heads" and rolling a number greater than 3 is:
So, the correct answer is:
- Option 1:
Would you like further details or have any questions?
Here are some related questions for practice:
- What is the probability of flipping "tails" and rolling a number less than 4?
- If the die has 8 sides, what is the probability of flipping "heads" and rolling a number greater than 4?
- What is the probability of rolling an even number after flipping "heads"?
- If two dice are rolled, what is the probability of getting a sum greater than 7?
- How would the probability change if the coin had three sides (heads, tails, and edge)?
Tip: For independent events, always multiply individual probabilities to find the combined outcome.
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Math Problem Analysis
Mathematical Concepts
Probability
Independent Events
Formulas
Probability of event A and event B = P(A) * P(B)
Theorems
Multiplication Rule for Independent Events
Suitable Grade Level
Grades 7-8
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