Math Problem Statement
Solution
The problem asks for the probability of rolling a 4 on the first roll and a 1 on the second roll with a single die rolled twice.
Solution:
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Probability of rolling a 4 on the first roll:
A standard die has 6 faces (1 through 6), so the probability of rolling a 4 is:
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Probability of rolling a 1 on the second roll:
Similarly, the probability of rolling a 1 is:
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Combined probability:
Since the rolls are independent, we multiply the probabilities:
Final Answer:
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Related Questions:
- What is the probability of rolling a 6 on both rolls?
- What is the probability of not rolling a 4 on the first roll?
- What is the probability of rolling two different numbers?
- What is the probability of rolling at least one 1 in two rolls?
- What is the probability of rolling a total sum of 5 in two rolls?
Tip: When dealing with independent events, always multiply their individual probabilities to find the combined probability.
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Math Problem Analysis
Mathematical Concepts
Probability
Independent Events
Formulas
P(A and B) = P(A) × P(B)
Probability of rolling a specific outcome on a die = 1/6
Theorems
Law of Independent Events
Suitable Grade Level
Grades 6-8