Math Problem Statement
Ralph rolls a single die two times in a row. What is the probability that he will roll a 'three' both times?
Solution
To solve this probability problem, we need to determine the likelihood that Ralph will roll a "three" on a die both times.
Each die roll is independent, and the probability of rolling a "three" on a single roll of a standard six-sided die is .
Since the rolls are independent, we multiply the probabilities of each event happening:
Therefore, the correct answer is:
C:
Would you like more details, or do you have any questions?
Here are some related questions:
- What is the probability of rolling the same number twice in a row with a die?
- How would the probability change if Ralph rolled the die three times and wanted all threes?
- What is the probability of rolling a number less than three on two consecutive rolls?
- How does the probability change if using a different-sided die, like an 8-sided die?
- What is the probability of rolling an even number twice in a row?
Tip: In probability, when dealing with independent events, always multiply the probabilities of each event occurring.
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Math Problem Analysis
Mathematical Concepts
Probability
Independent Events
Formulas
Probability of two independent events: P(A and B) = P(A) * P(B)
Theorems
Law of Independent Probability
Suitable Grade Level
Grades 6-8